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97640164657940 = 22538811257925337
BaseRepresentation
bin10110001100110110011111…
…010101001000101100010100
3110210201022022221210100001112
4112030312133111020230110
5100244214024123023230
6543355134501314152
726365161205533242
oct2614663725105424
9423638287710045
1097640164657940
1129124a63525a83
12ab4b399705958
134263574487738
141a17b4858d792
15b44ca10a7d95
hex58cd9f548b14

97640164657940 has 24 divisors (see below), whose sum is σ = 205097178808872. Its totient is φ = 39046002429440.

The previous prime is 97640164657927. The next prime is 97640164657943. The reversal of 97640164657940 is 4975646104679.

97640164657940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 391169284 + 97639773488656 = 19778^2 + 9881284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97640164657943) 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 7 ways as a sum of consecutive naturals, for example, 628885049 + ... + 629040288.

It is an arithmetic number, because the mean of its divisors is an integer number (8545715783703).

Almost surely, 297640164657940 is an apocalyptic number.

It is an amenable number.

97640164657940 is an abundant number, since it is smaller than the sum of its proper divisors (107457014150932).

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

97640164657940 is a wasteful number, since it uses less digits than its factorization.

97640164657940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257929227 (or 1257929225 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 68.

The spelling of 97640164657940 in words is "ninety-seven trillion, six hundred forty billion, one hundred sixty-four million, six hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 3881 7762 15524 19405 38810 77620 1257925337 2515850674 5031701348 6289626685 12579253370 25158506740 4882008232897 9764016465794 19528032931588 24410041164485 48820082328970 97640164657940