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57016461075 = 3527176388399
BaseRepresentation
bin110101000110011100…
…100010011100010011
312110011120112022202120
4311012130202130103
51413232203223300
642105404345323
74055630631330
oct650634423423
9173146468676
1057016461075
11221a9340112
12b072845243
1354b85ba342
142a8c533987
15173a8613a0
hexd46722713

57016461075 has 48 divisors (see below), whose sum is σ = 114071270400. Its totient is φ = 24531448320.

The previous prime is 57016461067. The next prime is 57016461077.

57016461075 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57016461075 - 23 = 57016461067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57016461077) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3185275 + ... + 3203124.

It is an arithmetic number, because the mean of its divisors is an integer number (2376484800).

Almost surely, 257016461075 is an apocalyptic number.

57016461075 is an abundant number, since it is smaller than the sum of its proper divisors (57054809325).

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

57016461075 is a wasteful number, since it uses less digits than its factorization.

57016461075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388436 (or 6388431 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 57016461075 in words is "fifty-seven billion, sixteen million, four hundred sixty-one thousand, seventy-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 8925 6388399 19165197 31941995 44718793 95825985 108602783 134156379 159709975 223593965 325808349 479129925 543013915 670781895 760219481 1117969825 1629041745 2280658443 2715069575 3353909475 3801097405 8145208725 11403292215 19005487025 57016461075