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10631060664 = 233773866851
BaseRepresentation
bin10011110011010100…
…10001110010111000
31000102220012211121120
421321222101302320
5133233022420124
64514524305240
7524306344650
oct117152216270
930386184546
1010631060664
114565a58254
1220883a2220
13100566ca53
1472bcb3360
154234b3d79
hex279a91cb8

10631060664 has 64 divisors (see below), whose sum is σ = 30790583040. Its totient is φ = 2995833600.

The previous prime is 10631060659. The next prime is 10631060669. The reversal of 10631060664 is 46606013601.

10631060664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10631060659) and next prime (10631060669).

It is a super-2 number, since 2×106310606642 (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 (10631060669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421162 + ... + 445689.

It is an arithmetic number, because the mean of its divisors is an integer number (481102860).

Almost surely, 210631060664 is an apocalyptic number.

10631060664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10631060664 is an abundant number, since it is smaller than the sum of its proper divisors (20159522376).

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

10631060664 is a wasteful number, since it uses less digits than its factorization.

10631060664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866940 (or 866936 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 10631060664 in words is "ten billion, six hundred thirty-one million, sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264 866851 1733702 2600553 3467404 5201106 6067957 6934808 10402212 12135914 18203871 20804424 24271828 36407742 48543656 63280123 72815484 126560246 145630968 189840369 253120492 379680738 442960861 506240984 759361476 885921722 1328882583 1518722952 1771843444 2657765166 3543686888 5315530332 10631060664