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13665656631 = 31122910112853
BaseRepresentation
bin11001011101000100…
…10101111100110111
31022021101100021200210
430232202111330313
5210441402003011
610140010240503
7662435110344
oct145642257467
938241307623
1013665656631
1158829a8100
122794726133
13139a278173
14938d237cb
1554eadd6a6
hex32e895f37

13665656631 has 48 divisors (see below), whose sum is σ = 20925283680. Its totient is φ = 7916832000.

The previous prime is 13665656621. The next prime is 13665656639.

13665656631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13665656631 - 221 = 13663559479 is a prime.

It is a super-2 number, since 2×136656566312 (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 (13665656639) 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, 1056801 + ... + 1069653.

It is an arithmetic number, because the mean of its divisors is an integer number (435943410).

Almost surely, 213665656631 is an apocalyptic number.

13665656631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13665656631 is a deficient number, since it is larger than the sum of its proper divisors (7259627049).

13665656631 is a wasteful number, since it uses less digits than its factorization.

13665656631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008 (or 12997 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 48.

The spelling of 13665656631 in words is "thirteen billion, six hundred sixty-five million, six hundred fifty-six thousand, six hundred thirty-one".

Divisors: 1 3 11 29 33 87 101 121 303 319 363 957 1111 2929 3333 3509 8787 10527 12221 12853 32219 36663 38559 96657 141383 354409 372737 424149 1063227 1118211 1298153 1555213 3894459 4100107 4665639 12300321 14279683 37646437 42839049 45101177 112939311 135303531 157076513 414110807 471229539 1242332421 4555218877 13665656631