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46488505098112 = 27711338981587
BaseRepresentation
bin10101001000111111100101…
…10101010001111110000000
320002121020221211222202110021
422210133302311101332000
522043131424301114422
6242512305134543224
712535453331300020
oct1244376265217600
9202536854882407
1046488505098112
11138a37341a2000
12526994a367b14
131cc2b0245c21c
14b6a0ac9d1a80
1555941558adc7
hex2a47f2d51f80

46488505098112 has 128 divisors (see below), whose sum is σ = 116420851457280. Its totient is φ = 18112404119040.

The previous prime is 46488505098059. The next prime is 46488505098131. The reversal of 46488505098112 is 21189050588464.

It is a happy number.

46488505098112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×464885050981122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18298218 + ... + 20683369.

It is an arithmetic number, because the mean of its divisors is an integer number (909537902010).

Almost surely, 246488505098112 is an apocalyptic number.

It is an amenable number.

46488505098112 is an abundant number, since it is smaller than the sum of its proper divisors (69932346359168).

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

46488505098112 is an equidigital number, since it uses as much as digits as its factorization.

46488505098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38981641 (or 38981607 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 61.

The spelling of 46488505098112 in words is "forty-six trillion, four hundred eighty-eight billion, five hundred five million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 308 352 448 484 616 704 847 896 968 1232 1331 1408 1694 1936 2464 2662 3388 3872 4928 5324 6776 7744 9317 9856 10648 13552 15488 18634 21296 27104 37268 42592 54208 74536 85184 108416 149072 170368 298144 596288 1192576 38981587 77963174 155926348 272871109 311852696 428797457 545742218 623705392 857594914 1091484436 1247410784 1715189828 2182968872 2494821568 3001582199 3430379656 4365937744 4716772027 4989643136 6003164398 6860759312 8731875488 9433544054 12006328796 13721518624 17463750976 18867088108 24012657592 27443037248 33017404189 34927501952 37734176216 48025315184 51884492297 54886074496 66034808378 75468352432 96050630368 103768984594 132069616756 150936704864 192101260736 207537969188 264139233512 301873409728 363191446079 384202521472 415075938376 528278467024 603746819456 726382892158 830151876752 1056556934048 1452765784316 1660303753504 2113113868096 2905531568632 3320607507008 4226227736192 5811063137264 6641215014016 11622126274528 23244252549056 46488505098112