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19952943336 = 23321812416353
BaseRepresentation
bin10010100101010010…
…011100000011101000
31220111112222112122100
4102211102130003220
5311330423141321
613055524453400
71304311135314
oct224522340350
956445875570
1019952943336
118509a09717
123a4a24a260
131b5ca10161
14d73d56b44
157bba73326
hex4a549c0e8

19952943336 has 96 divisors (see below), whose sum is σ = 54571837320. Its totient is φ = 6585753600.

The previous prime is 19952943319. The next prime is 19952943349. The reversal of 19952943336 is 63334925991.

19952943336 is a `hidden beast` number, since 19 + 9 + 5 + 294 + 3 + 336 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13195116900 + 6757826436 = 114870^2 + 82206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3137536 + ... + 3143888.

Almost surely, 219952943336 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 19952943336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27285918660).

19952943336 is an abundant number, since it is smaller than the sum of its proper divisors (34618893984).

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

19952943336 is a wasteful number, since it uses less digits than its factorization.

19952943336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6780 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The spelling of 19952943336 in words is "nineteen billion, nine hundred fifty-two million, nine hundred forty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 241 362 482 543 723 724 964 1086 1446 1448 1629 1928 2169 2172 2892 3258 4338 4344 5784 6353 6516 8676 12706 13032 17352 19059 25412 38118 43621 50824 57177 76236 87242 114354 130863 152472 174484 228708 261726 348968 392589 457416 523452 785178 1046904 1149893 1531073 1570356 2299786 3062146 3140712 3449679 4593219 4599572 6124292 6899358 9186438 9199144 10349037 12248584 13779657 13798716 18372876 20698074 27559314 27597432 36745752 41396148 55118628 82792296 110237256 277124213 554248426 831372639 1108496852 1662745278 2216993704 2494117917 3325490556 4988235834 6650981112 9976471668 19952943336