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104353853016 = 23371397396047
BaseRepresentation
bin110000100101111111…
…0010110111001011000
3100222100121011222210010
41201023332112321120
53202204041244031
6115534533121520
710352662054350
oct1411376267130
9328317158703
10104353853016
1140290036336
1218283a892a0
139ac083602a
14509d3a5b60
152aab5aa246
hex184bf96e58

104353853016 has 128 divisors (see below), whose sum is σ = 300754944000. Its totient is φ = 29555943552.

The previous prime is 104353852987. The next prime is 104353853047. The reversal of 104353853016 is 610358353401.

104353853016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17254105 + ... + 17260151.

It is an arithmetic number, because the mean of its divisors is an integer number (2349648000).

Almost surely, 2104353853016 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 104353853016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150377472000).

104353853016 is an abundant number, since it is smaller than the sum of its proper divisors (196401090984).

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

104353853016 is a wasteful number, since it uses less digits than its factorization.

104353853016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6941 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 104353853016 in words is "one hundred four billion, three hundred fifty-three million, eight hundred fifty-three thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 556 739 834 973 1112 1478 1668 1946 2217 2919 2956 3336 3892 4434 5173 5838 5912 6047 7784 8868 10346 11676 12094 15519 17736 18141 20692 23352 24188 31038 36282 41384 42329 48376 62076 72564 84658 102721 124152 126987 145128 169316 205442 253974 308163 338632 410884 507948 616326 719047 821768 840533 1015896 1232652 1438094 1681066 2157141 2465304 2521599 2876188 3362132 4314282 4468733 5043198 5752376 5883731 6724264 8628564 8937466 10086396 11767462 13406199 17257128 17651193 17874932 20172792 23534924 26812398 31281131 35302386 35749864 47069848 53624796 62562262 70604772 93843393 107249592 125124524 141209544 187686786 250249048 375373572 621153887 750747144 1242307774 1863461661 2484615548 3726923322 4348077209 4969231096 7453846644 8696154418 13044231627 14907693288 17392308836 26088463254 34784617672 52176926508 104353853016