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10664623431 = 3371110150789
BaseRepresentation
bin10011110111010100…
…10011110101000111
31000112020101000002000
421323222103311013
5133320120422211
64522123520343
7525164542410
oct117352236507
930466330060
1010664623431
1145829a1480
1220976890b3
13100c5c1587
1473252c807
154263e3656
hex27ba93d47

10664623431 has 64 divisors (see below), whose sum is σ = 19893427200. Its totient is φ = 5485104000.

The previous prime is 10664623393. The next prime is 10664623433. The reversal of 10664623431 is 13432646601.

10664623431 is a `hidden beast` number, since 1 + 0 + 6 + 646 + 2 + 3 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 10664623431 - 26 = 10664623367 is a prime.

It is a super-2 number, since 2×106646234312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664623433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184585 + ... + 235373.

It is an arithmetic number, because the mean of its divisors is an integer number (310834800).

Almost surely, 210664623431 is an apocalyptic number.

10664623431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10664623431 is a deficient number, since it is larger than the sum of its proper divisors (9228803769).

10664623431 is a wasteful number, since it uses less digits than its factorization.

10664623431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50917 (or 50911 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10664623431 in words is "ten billion, six hundred sixty-four million, six hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 101 189 231 297 303 693 707 909 1111 2079 2121 2727 3333 6363 7777 9999 19089 23331 29997 50789 69993 152367 209979 355523 457101 558679 1066569 1371303 1676037 3199707 3910753 5028111 5129689 9599121 11732259 15084333 15389067 35196777 35907823 46167201 56426579 105590331 107723469 138501603 169279737 323170407 394986053 507839211 969511221 1184958159 1523517633 3554874477 10664623431