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92107394064 = 24327236132
BaseRepresentation
bin101010111001000000…
…1110100110000010000
322210202010022102022100
41111302001310300100
53002113443102224
6110151421040400
76440335634400
oct1256201646020
9283663272270
1092107394064
113607624a484
1215a266b6100
1388bb5cb80a
14465ab50800
1525e13a4ac9
hex1572074c10

92107394064 has 135 divisors (see below), whose sum is σ = 299941144893. Its totient is φ = 26309114496.

The previous prime is 92107394053. The next prime is 92107394089. The reversal of 92107394064 is 46049370129.

It is a happy number.

The square root of 92107394064 is 303492.

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

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 92056414464 = 7140^2 + 303408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25491522 + ... + 25495134.

Almost surely, 292107394064 is an apocalyptic number.

92107394064 is the 303492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92107394064

92107394064 is an abundant number, since it is smaller than the sum of its proper divisors (207833750829).

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

92107394064 is an equidigital number, since it uses as much as digits as its factorization.

92107394064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7254 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 92107394064 in words is "ninety-two billion, one hundred seven million, three hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 3613 7056 7226 10839 14452 21678 25291 28904 32517 43356 50582 57808 65034 75873 86712 101164 130068 151746 173424 177037 202328 227619 260136 303492 354074 404656 455238 520272 531111 606984 708148 910476 1062222 1213968 1416296 1593333 1820952 2124444 2832592 3186666 3641904 4248888 6373332 8497776 12746664 13053769 25493328 26107538 39161307 52215076 78322614 91376383 104430152 117483921 156645228 182752766 208860304 234967842 274129149 313290456 365505532 469935684 548258298 626580912 639634681 731011064 822387447 939871368 1096516596 1279269362 1462022128 1644774894 1879742736 1918904043 2193033192 2558538724 3289549788 3837808086 4386066384 5117077448 5756712129 6579099576 7675616172 10234154896 11513424258 13158199152 15351232344 23026848516 30702464688 46053697032 92107394064