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57445519656 = 23372347140773
BaseRepresentation
bin110101100000000001…
…010001000100101000
312111021110212202111010
4311200001101010220
51420122023112111
642220132503520
74102360601100
oct654001210450
9174243782433
1057445519656
11223a9553188
12b17247aba0
135556464265
142acd500200
151763364aa6
hexd60051128

57445519656 has 96 divisors (see below), whose sum is σ = 167543583840. Its totient is φ = 16365589632.

The previous prime is 57445519639. The next prime is 57445519661. The reversal of 57445519656 is 65691554475.

It is a junction number, because it is equal to n+sod(n) for n = 57445519596 and 57445519605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337686 + ... + 478458.

It is an arithmetic number, because the mean of its divisors is an integer number (1745245665).

Almost surely, 257445519656 is an apocalyptic number.

57445519656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57445519656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83771791920).

57445519656 is an abundant number, since it is smaller than the sum of its proper divisors (110098064184).

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

57445519656 is a wasteful number, since it uses less digits than its factorization.

57445519656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141143 (or 141132 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 57.

The spelling of 57445519656 in words is "fifty-seven billion, four hundred forty-five million, five hundred nineteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 347 392 588 694 1041 1176 1388 2082 2429 2776 4164 4858 7287 8328 9716 14574 17003 19432 29148 34006 51009 58296 68012 102018 136024 140773 204036 281546 408072 422319 563092 844638 985411 1126184 1689276 1970822 2956233 3378552 3941644 5912466 6897877 7883288 11824932 13795754 20693631 23649864 27591508 41387262 48848231 55183016 82774524 97696462 146544693 165549048 195392924 293089386 341937617 390785848 586178772 683875234 1025812851 1172357544 1367750468 2051625702 2393563319 2735500936 4103251404 4787126638 7180689957 8206502808 9574253276 14361379914 19148506552 28722759828 57445519656