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19376212716 = 22337214111971
BaseRepresentation
bin10010000010111010…
…011000101011101100
31212000100202120222000
4102002322120223230
5304140302301331
612522403252300
71254106043040
oct220272305354
955010676860
1019376212716
118243404443
12390907a090
131a9a3a0b33
14d1b50a020
157861000e6
hex482e98aec

19376212716 has 96 divisors (see below), whose sum is σ = 57442613760. Its totient is φ = 5533012800.

The previous prime is 19376212703. The next prime is 19376212733. The reversal of 19376212716 is 61721267391.

19376212716 is a `hidden beast` number, since 1 + 9 + 3 + 7 + 621 + 2 + 7 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612611 + ... + 1624581.

It is an arithmetic number, because the mean of its divisors is an integer number (598360560).

Almost surely, 219376212716 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 19376212716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721306880).

19376212716 is an abundant number, since it is smaller than the sum of its proper divisors (38066401044).

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

19376212716 is a wasteful number, since it uses less digits than its factorization.

19376212716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14132 (or 14124 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 19376212716 in words is "nineteen billion, three hundred seventy-six million, two hundred twelve thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2141 4282 6423 8564 11971 12846 14987 19269 23942 25692 29974 35913 38538 44961 47884 57807 59948 71826 77076 83797 89922 107739 115614 134883 143652 167594 179844 215478 231228 251391 269766 323217 335188 404649 430956 502782 539532 646434 754173 809298 1005564 1292868 1508346 1618596 2262519 3016692 4525038 9050076 25629911 51259822 76889733 102519644 153779466 179409377 230669199 307558932 358818754 461338398 538228131 692007597 717637508 922676796 1076456262 1384015194 1614684393 2152912524 2768030388 3229368786 4844053179 6458737572 9688106358 19376212716