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57605996214072 = 2333400366623639
BaseRepresentation
bin11010001100100011100001…
…11100001111011100111000
321112222002010220220112101000
431012101300330033130320
530022304040012322242
6322303455044525000
715063616200466125
oct1506216074173470
9245862126815330
1057605996214072
111739a625094349
1265645176b0760
13261b2b704a567
1410322061c974c
1569d6e6817a4c
hex346470f0f738

57605996214072 has 64 divisors (see below), whose sum is σ = 160056632736000. Its totient is φ = 19197201547872.

The previous prime is 57605996214061. The next prime is 57605996214073. The reversal of 57605996214072 is 27041269950675.

57605996214072 is a `hidden beast` number, since 5 + 7 + 605 + 9 + 9 + 6 + 2 + 14 + 0 + 7 + 2 = 666.

57605996214072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57605996214073) by changing a digit.

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, 32447172 + ... + 34176467.

It is an arithmetic number, because the mean of its divisors is an integer number (2500884886500).

Almost surely, 257605996214072 is an apocalyptic number.

It is an amenable number.

57605996214072 is an abundant number, since it is smaller than the sum of its proper divisors (102450636521928).

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

57605996214072 is a wasteful number, since it uses less digits than its factorization.

57605996214072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66627657 (or 66627647 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 57605996214072 in words is "fifty-seven trillion, six hundred five billion, nine hundred ninety-six million, two hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4003 8006 12009 16012 24018 32024 36027 48036 72054 96072 108081 144108 216162 288216 432324 864648 66623639 133247278 199870917 266494556 399741834 532989112 599612751 799483668 1199225502 1598967336 1798838253 2398451004 3597676506 4796902008 7195353012 14390706024 266694426917 533388853834 800083280751 1066777707668 1600166561502 2133555415336 2400249842253 3200333123004 4800499684506 6400666246008 7200749526759 9600999369012 14401499053518 19201998738024 28802998107036 57605996214072