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104058213864 = 233112330235669
BaseRepresentation
bin110000011101001011…
…0100101010111101000
3100221120222212222002220
41200322112211113220
53201102400320424
6115445332354040
710342442136543
oct1407226452750
9327528788086
10104058213864
1140149170260
1218200a75920
139a74504117
14507200985a
152a9065d579
hex183a5a55e8

104058213864 has 128 divisors (see below), whose sum is σ = 296284262400. Its totient is φ = 30146504960.

The previous prime is 104058213829. The next prime is 104058213871. The reversal of 104058213864 is 468312850401.

It is a happy number.

It is a super-2 number, since 2×1040582138642 (a number of 23 digits) contains 22 as substring.

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, 18352822 + ... + 18358490.

It is an arithmetic number, because the mean of its divisors is an integer number (2314720800).

Almost surely, 2104058213864 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 104058213864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148142131200).

104058213864 is an abundant number, since it is smaller than the sum of its proper divisors (192226048536).

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

104058213864 is a wasteful number, since it uses less digits than its factorization.

104058213864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 104058213864 in words is "one hundred four billion, fifty-eight million, two hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3023 3036 5669 6046 6072 9069 11338 12092 17007 18138 22676 24184 33253 34014 36276 45352 62359 66506 68028 69529 72552 99759 124718 130387 133012 136056 139058 187077 199518 208587 249436 260774 266024 278116 374154 391161 399036 417174 498872 521548 556232 748308 764819 782322 798072 834348 1043096 1434257 1496616 1529638 1564644 1668696 2294457 2868514 3059276 3129288 4302771 4588914 5737028 6118552 8605542 9177828 11474056 17137387 17211084 18355656 34274774 34422168 51412161 68549548 102824322 137099096 188511257 205648644 377022514 394159901 411297288 565533771 754045028 788319802 1131067542 1182479703 1508090056 1576639604 2262135084 2364959406 3153279208 4335758911 4524270168 4729918812 8671517822 9459837624 13007276733 17343035644 26014553466 34686071288 52029106932 104058213864