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104033062868 = 22725983283383
BaseRepresentation
bin110000011100011011…
…0101000111111010100
3100221112020120011102112
41200320312220333110
53201024431002433
6115443033330152
710342015305200
oct1407066507724
9327466504375
10104033062868
1140135a51a09
12181b4566958
139a6c239287
14506c93db00
152a8d341348
hex1838da8fd4

104033062868 has 144 divisors (see below), whose sum is σ = 219307253760. Its totient is φ = 43036168896.

The previous prime is 104033062849. The next prime is 104033062877. The reversal of 104033062868 is 868260330401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 271626605 + ... + 271626987.

It is an arithmetic number, because the mean of its divisors is an integer number (1522967040).

Almost surely, 2104033062868 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 104033062868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109653626880).

104033062868 is an abundant number, since it is smaller than the sum of its proper divisors (115274190892).

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

104033062868 is a wasteful number, since it uses less digits than its factorization.

104033062868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 104033062868 in words is "one hundred four billion, thirty-three million, sixty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 59 83 98 118 166 196 236 283 332 383 413 566 581 766 826 1132 1162 1532 1652 1981 2324 2681 2891 3962 4067 4897 5362 5782 7924 8134 9794 10724 11564 13867 16268 16697 18767 19588 22597 23489 27734 31789 33394 34279 37534 45194 46978 55468 63578 66788 68558 75068 90388 93956 108389 116879 127156 137116 158179 164423 216778 222523 233758 239953 316358 328846 433556 445046 467516 479906 632716 657692 758723 818153 890092 959812 1107253 1150961 1385851 1517446 1557661 1636306 1875551 2214506 2301922 2771702 3034892 3115322 3272612 3751102 4429012 4603844 5311061 5543404 6230644 6394951 7502204 8996287 9700957 10622122 12789902 13128857 17992574 19401914 21244244 25579804 26257714 35985148 38803828 44764657 52515428 62974009 67906699 89529314 91901999 125948018 135813398 179058628 183803998 251896036 271626796 313352599 367607996 440818063 530780933 626705198 881636126 1061561866 1253410396 1763272252 2123123732 3715466531 7430933062 14861866124 26008265717 52016531434 104033062868