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47077320066 = 237353716079
BaseRepresentation
bin101011110110000001…
…101110010110000010
311111111220021122110220
4223312001232112002
51232403243220231
633343234203510
73254422422000
oct536601562602
9144456248426
1047077320066
1118a68a13397
12915a123596
1345933bab0a
1423c84d3a70
151357ec5896
hexaf606e582

47077320066 has 128 divisors (see below), whose sum is σ = 113467392000. Its totient is φ = 13008864960.

The previous prime is 47077320049. The next prime is 47077320077. The reversal of 47077320066 is 66002377074.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7741215 + ... + 7747293.

It is an arithmetic number, because the mean of its divisors is an integer number (886464000).

Almost surely, 247077320066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47077320066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56733696000).

47077320066 is an abundant number, since it is smaller than the sum of its proper divisors (66390071934).

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

47077320066 is a wasteful number, since it uses less digits than its factorization.

47077320066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 47077320066 in words is "forty-seven billion, seventy-seven million, three hundred twenty thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 53 71 98 106 142 147 159 213 294 318 343 371 426 497 686 742 994 1029 1113 1491 2058 2226 2597 2982 3479 3763 5194 6079 6958 7526 7791 10437 11289 12158 15582 18179 18237 20874 22578 24353 26341 36358 36474 42553 48706 52682 54537 73059 79023 85106 109074 127659 146118 158046 184387 255318 297871 322187 368774 431609 553161 595742 644374 863218 893613 966561 1106322 1290709 1294827 1787226 1933122 2085097 2255309 2581418 2589654 3021263 3872127 4170194 4510618 6042526 6255291 6765927 7744254 9063789 12510582 13531854 15787163 18127578 21148841 22875277 31574326 42297682 45750554 47361489 63446523 68625831 94722978 110510141 126893046 137251662 148041887 160126939 221020282 296083774 320253878 331530423 444125661 480380817 663060846 888251322 960761634 1120888573 2241777146 3362665719 6725331438 7846220011 15692440022 23538660033 47077320066