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13663665432 = 2332713677283
BaseRepresentation
bin11001011100110101…
…01111110100011000
31022021020121010021200
430232122233310120
5210440344243212
610135455434200
7662412145164
oct145632576430
938236533250
1013663665432
11588186808a
122793b25960
131399a2ba41
14938965ca4
1554e8486dc
hex32e6afd18

13663665432 has 96 divisors (see below), whose sum is σ = 37634388480. Its totient is φ = 4477556160.

The previous prime is 13663665413. The next prime is 13663665437. The reversal of 13663665432 is 23456636631.

13663665432 is a `hidden beast` number, since 1 + 3 + 6 + 636 + 6 + 5 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663665437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1872463 + ... + 1879745.

It is an arithmetic number, because the mean of its divisors is an integer number (392024880).

Almost surely, 213663665432 is an apocalyptic number.

13663665432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13663665432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817194240).

13663665432 is an abundant number, since it is smaller than the sum of its proper divisors (23970723048).

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

13663665432 is a wasteful number, since it uses less digits than its factorization.

13663665432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7726 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 13663665432 in words is "thirteen billion, six hundred sixty-three million, six hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 367 426 568 639 734 852 1101 1278 1468 1704 2202 2556 2936 3303 4404 5112 6606 7283 8808 13212 14566 21849 26057 26424 29132 43698 52114 58264 65547 78171 87396 104228 131094 156342 174792 208456 234513 262188 312684 469026 517093 524376 625368 938052 1034186 1551279 1876104 2068372 2672861 3102558 4136744 4653837 5345722 6205116 8018583 9307674 10691444 12410232 16037166 18615348 21382888 24055749 32074332 37230696 48111498 64148664 96222996 189773131 192445992 379546262 569319393 759092524 1138638786 1518185048 1707958179 2277277572 3415916358 4554555144 6831832716 13663665432