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13811912868 = 22313432338837
BaseRepresentation
bin11001101110100000…
…10001000010100100
31022122120112212112110
430313100101002210
5211241322202433
610202313121020
7666162215355
oct146720210244
938576485473
1013811912868
115948512626
1228156b9170
1313c1666010
14950515d2c
1555c87d963
hex3374110a4

13811912868 has 96 divisors (see below), whose sum is σ = 35670450816. Its totient is φ = 4132703232.

The previous prime is 13811912833. The next prime is 13811912879. The reversal of 13811912868 is 86821911831.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1558546 + ... + 1567382.

It is an arithmetic number, because the mean of its divisors is an integer number (371567196).

Almost surely, 213811912868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13811912868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17835225408).

13811912868 is an abundant number, since it is smaller than the sum of its proper divisors (21858537948).

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

13811912868 is a wasteful number, since it uses less digits than its factorization.

13811912868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133 (or 9131 counting only the distinct ones).

The product of its digits is 165888, while the sum is 48.

The spelling of 13811912868 in words is "thirteen billion, eight hundred eleven million, nine hundred twelve thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 233 258 466 516 559 699 932 1118 1398 1677 2236 2796 3029 3354 6058 6708 8837 9087 10019 12116 17674 18174 20038 26511 30057 35348 36348 40076 53022 60114 106044 114881 120228 130247 229762 260494 344643 379991 390741 459524 520988 689286 759982 781482 1139973 1378572 1519964 1562964 2059021 2279946 4118042 4559892 4939883 6177063 8236084 9879766 12354126 14819649 19759532 24708252 26767273 29639298 53534546 59278596 80301819 88537903 107069092 160603638 177075806 265613709 321207276 354151612 531227418 1062454836 1150992739 2301985478 3452978217 4603970956 6905956434 13811912868