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57212312769 = 34706324849
BaseRepresentation
bin110101010010000111…
…101001110011000001
312110200020001121210000
4311102013221303001
51414132323002034
642141042230213
74063526430453
oct652207516301
9173606047700
1057212312769
112229994a417
12b108355369
13551a051411
142aaa5562d3
15174cb4b599
hexd521e9cc1

57212312769 has 10 divisors (see below), whose sum is σ = 85465306850. Its totient is φ = 38141541792.

The previous prime is 57212312767. The next prime is 57212312777. The reversal of 57212312769 is 96721321275.

It is a happy number.

57212312769 is a `hidden beast` number, since 57 + 212 + 312 + 76 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56423826369 + 788486400 = 237537^2 + 28080^2 .

It is not a de Polignac number, because 57212312769 - 21 = 57212312767 is a prime.

It is a super-2 number, since 2×572123127692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57212312767) 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 9 ways as a sum of consecutive naturals, for example, 353162344 + ... + 353162505.

It is an arithmetic number, because the mean of its divisors is an integer number (8546530685).

Almost surely, 257212312769 is an apocalyptic number.

It is an amenable number.

57212312769 is a deficient number, since it is larger than the sum of its proper divisors (28252994081).

57212312769 is an equidigital number, since it uses as much as digits as its factorization.

57212312769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706324861 (or 706324852 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 57212312769 in words is "fifty-seven billion, two hundred twelve million, three hundred twelve thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 706324849 2118974547 6356923641 19070770923 57212312769