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19401765136 = 2413229247421
BaseRepresentation
bin10010000100011011…
…110111000100010000
31212002010211210021221
4102010123313010100
5304213322441021
612525115054424
71254536165635
oct220433670420
955063753257
1019401765136
118256877346
123915741414
131aa2779600
14d20a7c18c
1578849b241
hex4846f7110

19401765136 has 60 divisors (see below), whose sum is σ = 42108750180. Its totient is φ = 8645844480.

The previous prime is 19401765133. The next prime is 19401765179. The reversal of 19401765136 is 63156710491.

It can be written as a sum of positive squares in 6 ways, for example, as 7266539536 + 12135225600 = 85244^2 + 110160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19401765092 and 19401765101.

It is not an unprimeable number, because it can be changed into a prime (19401765133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45295 + ... + 202126.

It is an arithmetic number, because the mean of its divisors is an integer number (701812503).

Almost surely, 219401765136 is an apocalyptic number.

19401765136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19401765136 is an abundant number, since it is smaller than the sum of its proper divisors (22706985044).

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

19401765136 is a wasteful number, since it uses less digits than its factorization.

19401765136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247484 (or 247465 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 19401765136 in words is "nineteen billion, four hundred one million, seven hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 1352 1508 2704 3016 4901 6032 9802 19604 39208 78416 247421 494842 989684 1979368 3216473 3958736 6432946 7175209 12865892 14350418 25731784 28700836 41814149 51463568 57401672 83628298 93277717 114803344 167256596 186555434 334513192 373110868 669026384 746221736 1212610321 1492443472 2425220642 4850441284 9700882568 19401765136