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57132735463671 = 3743316719977871
BaseRepresentation
bin11001111110110010000000…
…11001110000000011110111
321111021211120120022102212020
430333121000121300003313
524442030320234314141
6321302225532324223
715014463305464410
oct1477310031600367
9244254516272766
1057132735463671
11172279477a393a
1264a8859613673
1325b579487568a
14101734c330807
15691248410266
hex33f6406700f7

57132735463671 has 32 divisors (see below), whose sum is σ = 89112177082368. Its totient is φ = 31877967955680.

The previous prime is 57132735463631. The next prime is 57132735463733. The reversal of 57132735463671 is 17636453723175.

57132735463671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-57132735463671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57132735463631) 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 31 ways as a sum of consecutive naturals, for example, 7129135 + ... + 12848736.

It is an arithmetic number, because the mean of its divisors is an integer number (2784755533824).

Almost surely, 257132735463671 is an apocalyptic number.

57132735463671 is a deficient number, since it is larger than the sum of its proper divisors (31979441618697).

57132735463671 is a wasteful number, since it uses less digits than its factorization.

57132735463671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19981091.

The product of its digits is 66679200, while the sum is 60.

The spelling of 57132735463671 in words is "fifty-seven trillion, one hundred thirty-two billion, seven hundred thirty-five million, four hundred sixty-three thousand, six hundred seventy-one".

Divisors: 1 3 7 21 43 129 301 903 3167 9501 22169 66507 136181 408543 953267 2859801 19977871 59933613 139845097 419535291 859048453 2577145359 6013339171 18040017513 63269917457 189809752371 442889422199 1328668266597 2720606450651 8161819351953 19044245154557 57132735463671