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92229050368 = 213713123719
BaseRepresentation
bin101010111100101000…
…1111010000000000000
322211001121020012101101
41111321101322000000
53002341114102433
6110211444344144
76443343664450
oct1257121720000
9284047205341
1092229050368
1136128992684
1215a5b3a5054
13890a8855b0
14466cd7bd60
1525ebdd607d
hex157947a000

92229050368 has 112 divisors (see below), whose sum is σ = 227013333120. Its totient is φ = 36485922816.

The previous prime is 92229050357. The next prime is 92229050401. The reversal of 92229050368 is 86305092229.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683613 + ... + 807331.

It is an arithmetic number, because the mean of its divisors is an integer number (2026904760).

Almost surely, 292229050368 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 92229050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113506666560).

92229050368 is an abundant number, since it is smaller than the sum of its proper divisors (134784282752).

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

92229050368 is a wasteful number, since it uses less digits than its factorization.

92229050368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123765 (or 123741 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 92229050368 in words is "ninety-two billion, two hundred twenty-nine million, fifty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 4096 5824 6656 7168 8192 11648 13312 14336 23296 26624 28672 46592 53248 57344 93184 106496 123719 186368 247438 372736 494876 745472 866033 989752 1608347 1732066 1979504 3216694 3464132 3959008 6433388 6928264 7918016 11258429 12866776 13856528 15836032 22516858 25733552 27713056 31672064 45033716 51467104 55426112 63344128 90067432 102934208 110852224 126688256 180134864 205868416 221704448 253376512 360269728 411736832 443408896 506753024 720539456 823473664 886817792 1013506048 1441078912 1646947328 1773635584 2882157824 3293894656 3547271168 5764315648 6587789312 7094542336 11528631296 13175578624 23057262592 46114525184 92229050368