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48066197740002 = 2341331853863119
BaseRepresentation
bin10101110110111010010001…
…01001000101100111100010
320022012002020222001000220000
422323131020221011213202
522300004033110140002
6250121150103400430
713060445121421431
oct1273351051054742
9208162228030800
1048066197740002
111435183a5a5142
125483674453116
1320a881395a280
14bc25b87b1118
155854a357c61c
hex2bb748a459e2

48066197740002 has 160 divisors (see below), whose sum is σ = 119870878955520. Its totient is φ = 14295719859840.

The previous prime is 48066197739997. The next prime is 48066197740019. The reversal of 48066197740002 is 20004779166084.

48066197740002 is a `hidden beast` number, since 48 + 0 + 6 + 6 + 197 + 7 + 400 + 0 + 2 = 666.

48066197740002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480661977400023 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55257399 + ... + 56120517.

It is an arithmetic number, because the mean of its divisors is an integer number (749192993472).

Almost surely, 248066197740002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48066197740002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59935439477760).

48066197740002 is an abundant number, since it is smaller than the sum of its proper divisors (71804681215518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48066197740002 is a wasteful number, since it uses less digits than its factorization.

48066197740002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864030 (or 864021 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 48066197740002 in words is "forty-eight trillion, sixty-six billion, one hundred ninety-seven million, seven hundred forty thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 279 351 403 558 702 806 837 853 1053 1209 1674 1706 2106 2418 2511 2559 3627 5022 5118 7254 7677 10881 11089 15354 21762 22178 23031 26443 32643 33267 46062 52886 65286 66534 69093 79329 99801 138186 158658 199602 237987 299403 343759 475974 598806 687518 713961 863119 898209 1031277 1427922 1726238 1796418 2062554 2141883 2589357 3093831 4283766 5178714 6187662 7768071 9281493 11220547 15536142 18562986 22441094 23304213 26756689 27844479 33661641 46608426 53513378 55688958 67323282 69912639 80270067 100984923 139825278 160540134 201969846 240810201 302954769 347836957 481620402 605909538 695673914 722430603 736240507 908864307 1043510871 1444861206 1472481014 1817728614 2087021742 2167291809 2208721521 3130532613 4334583618 4417443042 6261065226 6626164563 9391597839 9571126591 13252329126 18783195678 19142253182 19878493689 22823455717 28174793517 28713379773 39756987378 45646911434 56349587034 57426759546 59635481067 68470367151 86140139319 119270962134 136940734302 172280278638 205411101453 258420417957 296704924321 410822202906 516840835914 593409848642 616233304359 775261253871 890114772963 1232466608718 1550522507742 1780229545926 1848699913077 2670344318889 3697399826154 5340688637778 8011032956667 16022065913334 24033098870001 48066197740002