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51060746861632 = 2653175319314447
BaseRepresentation
bin10111001110000100000011…
…01011011011110001000000
320200210100201020111222221001
423213002001223123301000
523143034402144033012
6300332552215541344
713520005623113044
oct1347020153336100
9220710636458831
1051060746861632
11152a68174a8262
125887ab898a854
1322650140b4b51
14c874d379a024
155d83194a6357
hex2e7081adbc40

51060746861632 has 112 divisors (see below), whose sum is σ = 103371060183552. Its totient is φ = 25015788195840.

The previous prime is 51060746861629. The next prime is 51060746861633. The reversal of 51060746861632 is 23616864706015.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51060746861633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11482063633 + ... + 11482068079.

It is an arithmetic number, because the mean of its divisors is an integer number (922955894496).

Almost surely, 251060746861632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51060746861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51685530091776).

51060746861632 is an abundant number, since it is smaller than the sum of its proper divisors (52310313321920).

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

51060746861632 is a wasteful number, since it uses less digits than its factorization.

51060746861632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 51060746861632 in words is "fifty-one trillion, sixty billion, seven hundred forty-six million, eight hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 1753 1931 3392 3506 3862 4447 7012 7724 8894 14024 15448 17788 28048 30896 35576 56096 61792 71152 92909 102343 112192 123584 142304 185818 204686 235691 284608 371636 409372 471382 743272 818744 942764 1486544 1637488 1885528 2973088 3274976 3385043 3771056 5946176 6549952 6770086 7542112 7795591 8587157 13540172 15084224 15591182 17174314 27080344 31182364 34348628 54160688 62364728 68697256 108321376 124729456 137394512 179407279 216642752 249458912 274789024 358814558 413166323 455119321 498917824 549578048 717629116 826332646 910238642 1435258232 1652665292 1820477284 2870516464 3305330584 3640954568 5741032928 6610661168 7281909136 11482065856 13221322336 14563818272 15053286221 26442644672 29127636544 30106572442 60213144884 120426289768 240852579536 481705159072 797824169713 963410318144 1595648339426 3191296678852 6382593357704 12765186715408 25530373430816 51060746861632