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19322112016 = 24192312592
BaseRepresentation
bin10001111111101100…
…000000100000010000
31211212120221222202101
4101333230000200100
5304032430041031
612513151530144
71252551146044
oct217754004020
954776858671
1019322112016
118215912819
1238b2b29954
131a8c10b09c
14d14266024
157814b5361
hex47fb00810

19322112016 has 135 divisors (see below), whose sum is σ = 41529991743. Its totient is φ = 8707210560.

The previous prime is 19322111999. The next prime is 19322112031. The reversal of 19322112016 is 61021122391.

The square root of 19322112016 is 139004.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 327493395 + ... + 327493453.

Almost surely, 219322112016 is an apocalyptic number.

19322112016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19322112016 is the 139004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19322112016

19322112016 is an abundant number, since it is smaller than the sum of its proper divisors (22207879727).

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

19322112016 is an equidigital number, since it uses as much as digits as its factorization.

19322112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Multiplying 19322112016 by its product of nonzero digits (1296), we get a square (25041457172736 = 50041442).

The spelling of 19322112016 in words is "nineteen billion, three hundred twenty-two million, one hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 19 31 38 59 62 76 118 124 152 236 248 304 361 472 496 589 722 944 961 1121 1178 1444 1829 1922 2242 2356 2888 3481 3658 3844 4484 4712 5776 6962 7316 7688 8968 9424 11191 13924 14632 15376 17936 18259 21299 22382 27848 29264 34751 36518 42598 44764 55696 56699 66139 69502 73036 85196 89528 107911 113398 132278 139004 146072 170392 179056 215822 226796 264556 278008 292144 340784 346921 431644 453592 529112 556016 660269 693842 863288 907184 1058224 1077281 1256641 1320538 1387684 1726576 2050309 2154562 2513282 2641076 2775368 3345241 4100618 4309124 5026564 5282152 5550736 6690482 8201236 8618248 10053128 10564304 13380964 16402472 17236496 20106256 20468339 26761928 32804944 38955871 40936678 53523856 63559579 77911742 81873356 127119158 155823484 163746712 254238316 311646968 327493424 508476632 623293936 1016953264 1207632001 2415264002 4830528004 9661056008 19322112016