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104560396164 = 22327276992
BaseRepresentation
bin110000101100001001…
…0010000011110000100
3100222212222211110201100
41201120102100132010
53203114430134124
6120011232100100
710361050463100
oct1413022203604
9328788743640
10104560396164
1140386688254
1218321094630
139b24571603
1450bc9ac900
152abe7a81c9
hex1858490784

104560396164 has 81 divisors (see below), whose sum is σ = 307497295287. Its totient is φ = 29870518608.

The previous prime is 104560396151. The next prime is 104560396177. The reversal of 104560396164 is 461693065401.

The square root of 104560396164 is 323358.

It is a perfect power (a square), and thus also a powerful number.

104560396164 is a `hidden beast` number, since 1 + 0 + 45 + 60 + 396 + 164 = 666.

It is an interprime number because it is at equal distance from previous prime (104560396151) and next prime (104560396177).

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 26 ways as a sum of consecutive naturals, for example, 13577187 + ... + 13584885.

Almost surely, 2104560396164 is an apocalyptic number.

104560396164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104560396164 is the 323358-th square number.

It is an amenable number.

104560396164 is an abundant number, since it is smaller than the sum of its proper divisors (202936899123).

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

104560396164 is an frugal number, since it uses more digits than its factorization.

104560396164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 104560396164 in words is "one hundred four billion, five hundred sixty million, three hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7699 15398 23097 30796 46194 53893 69291 92388 107786 138582 161679 215572 277164 323358 377251 485037 646716 754502 970074 1131753 1509004 1940148 2263506 3395259 4527012 6790518 13581036 59274601 118549202 177823803 237098404 355647606 414922207 533471409 711295212 829844414 1066942818 1244766621 1659688828 2133885636 2489533242 2904455449 3734299863 4979066484 5808910898 7468599726 8713366347 11617821796 14937199452 17426732694 26140099041 34853465388 52280198082 104560396164