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13023665252 = 221321741131211
BaseRepresentation
bin11000010000100010…
…10101110001100100
31020121122022202002022
430020101111301210
5203133024242002
65552154202312
7640511220353
oct141021256144
936548282068
1013023665252
115583579514
122635723398
1312c7269500
148b796999a
15513578ba2
hex308455c64

13023665252 has 144 divisors (see below), whose sum is σ = 27100713024. Its totient is φ = 5451264000.

The previous prime is 13023665243. The next prime is 13023665287. The reversal of 13023665252 is 25256632031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61723427 + ... + 61723637.

It is an arithmetic number, because the mean of its divisors is an integer number (188199396).

Almost surely, 213023665252 is an apocalyptic number.

It is an amenable number.

13023665252 is an abundant number, since it is smaller than the sum of its proper divisors (14077047772).

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

13023665252 is a wasteful number, since it uses less digits than its factorization.

13023665252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 13023665252 in words is "thirteen billion, twenty-three million, six hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 13 17 26 34 41 52 68 82 131 164 169 211 221 262 338 422 442 524 533 676 697 844 884 1066 1394 1703 2132 2227 2743 2788 2873 3406 3587 4454 5371 5486 5746 6812 6929 7174 8651 8908 9061 10742 10972 11492 13858 14348 17302 18122 21484 22139 27641 27716 28951 34604 35659 36244 44278 46631 55282 57902 69823 71318 88556 91307 93262 110564 112463 115804 117793 139646 142636 147067 182614 186524 224926 235586 279292 294134 359333 365228 376363 449852 469897 471172 588268 606203 718666 752726 907699 939794 1133281 1186991 1212406 1437332 1462019 1505452 1815398 1879588 1911871 2266562 2373982 2424812 2924038 3630796 3823742 4533124 4671329 4747964 5848076 6108661 7647484 9342658 12217322 14732653 15430883 18685316 19265777 24434644 24854323 29465306 30861766 38531554 49708646 58930612 61723532 77063108 79412593 99417292 158825186 191524489 250455101 317650372 383048978 500910202 766097956 1001820404 3255916313 6511832626 13023665252