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16374810788 = 22721728117489
BaseRepresentation
bin11110100000000001…
…11100100010100100
31120021012002120112122
433100000330202210
5232013422421123
611304505005112
71116532411100
oct172000744244
946235076478
1016374810788
116a43176786
12320ba83798
13170c61846b
14b14a5a900
1565c880bc8
hex3d003c8a4

16374810788 has 72 divisors (see below), whose sum is σ = 35422916760. Its totient is φ = 6581084160.

The previous prime is 16374810757. The next prime is 16374810797. The reversal of 16374810788 is 88701847361.

It can be written as a sum of positive squares in 4 ways, for example, as 1030538404 + 15344272384 = 32102^2 + 123872^2 .

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 23 ways as a sum of consecutive naturals, for example, 927548 + ... + 945036.

It is an arithmetic number, because the mean of its divisors is an integer number (491984955).

Almost surely, 216374810788 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 16374810788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17711458380).

16374810788 is an abundant number, since it is smaller than the sum of its proper divisors (19048105972).

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

16374810788 is a wasteful number, since it uses less digits than its factorization.

16374810788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17805 (or 17796 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 53.

The spelling of 16374810788 in words is "sixteen billion, three hundred seventy-four million, eight hundred ten thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 281 476 562 833 1124 1666 1967 3332 3934 4777 7868 9554 13769 17489 19108 27538 33439 34978 55076 66878 69956 122423 133756 234073 244846 297313 468146 489692 594626 856961 936292 1189252 1713922 2081191 3427844 4162382 4914409 8324764 9828818 14568337 19657636 29136674 34400863 58273348 68801726 83544953 137603452 167089906 240806041 334179812 481612082 584814671 963224164 1169629342 2339258684 4093702697 8187405394 16374810788