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51057437032 = 23719140934057
BaseRepresentation
bin101111100011010000…
…101010100101101000
311212210021120112112101
4233203100222211220
51314031200441112
635242214023144
73455152024360
oct574320524550
9155707515471
1051057437032
111a720657158
129a8b047ab4
134a78b6a404
142684d4d9a0
1514dc61e757
hexbe342a968

51057437032 has 64 divisors (see below), whose sum is σ = 115252272000. Its totient is φ = 20714766336.

The previous prime is 51057437029. The next prime is 51057437059. The reversal of 51057437032 is 23073475015.

It is a junction number, because it is equal to n+sod(n) for n = 51057436982 and 51057437000.

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 15 ways as a sum of consecutive naturals, for example, 1482148 + ... + 1516204.

It is an arithmetic number, because the mean of its divisors is an integer number (1800816750).

Almost surely, 251057437032 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 51057437032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57626136000).

51057437032 is an abundant number, since it is smaller than the sum of its proper divisors (64194834968).

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

51057437032 is a wasteful number, since it uses less digits than its factorization.

51057437032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35498 (or 35494 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The spelling of 51057437032 in words is "fifty-one billion, fifty-seven million, four hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1409 2818 5636 9863 11272 19726 26771 34057 39452 53542 68114 78904 107084 136228 187397 214168 238399 272456 374794 476798 647083 749588 953596 1294166 1499176 1907192 2588332 4529581 5176664 9059162 18118324 36236648 47986313 95972626 191945252 335904191 383890504 671808382 911739947 1343616764 1823479894 2687233528 3646959788 6382179629 7293919576 12764359258 25528718516 51057437032