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10640067571431 = 3227128131149919
BaseRepresentation
bin1001101011010101010101…
…1100101010111011100111
31101200011212121021211101200
42122311111130222323213
52343311324244241211
634343551330253543
72145501536053344
oct232652534527347
941604777254350
1010640067571431
113432477838011
12123a1491272b3
135c247ab6657c
1428ada692d7cb
15136b8c693b56
hex9ad5572aee7

10640067571431 has 48 divisors (see below), whose sum is σ = 15530682286080. Its totient is φ = 7019269488000.

The previous prime is 10640067571373. The next prime is 10640067571459. The reversal of 10640067571431 is 13417576004601.

It is a happy number.

10640067571431 is a `hidden beast` number, since 1 + 0 + 6 + 40 + 0 + 6 + 7 + 571 + 4 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10640067571431 is a prime.

It is a super-2 number, since 2×106400675714312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640067571031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213121690 + ... + 213171608.

It is an arithmetic number, because the mean of its divisors is an integer number (323555880960).

Almost surely, 210640067571431 is an apocalyptic number.

10640067571431 is a deficient number, since it is larger than the sum of its proper divisors (4890614714649).

10640067571431 is a wasteful number, since it uses less digits than its factorization.

10640067571431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50788 (or 50785 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10640067571431 in words is "ten trillion, six hundred forty billion, sixty-seven million, five hundred seventy-one thousand, four hundred thirty-one".

Divisors: 1 3 9 271 281 311 813 843 933 2439 2529 2799 49919 76151 84281 87391 149757 228453 252843 262173 449271 685359 758529 786519 13528049 14027239 15524809 23682961 40584147 42081717 46574427 71048883 121752441 126245151 139723281 213146649 3801381769 4207223239 4362471329 11404145307 12621669717 13087413987 34212435921 37865009151 39262241961 1182229730159 3546689190477 10640067571431