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10874365344 = 25344195357
BaseRepresentation
bin10100010000010100…
…11010010110100000
31001001212000222220000
422020022122112200
5134232314142334
64555015220000
7533322403023
oct121012322640
931055028800
1010874365344
1146803286a7
122135977600
131043ba9b0b
147523291ba
15439a24299
hex28829a5a0

10874365344 has 60 divisors (see below), whose sum is σ = 31981214034. Its totient is φ = 3624787584.

The previous prime is 10874365309. The next prime is 10874365363. The reversal of 10874365344 is 44356347801.

10874365344 is a `hidden beast` number, since 1 + 0 + 87 + 4 + 36 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10269795600 + 604569744 = 101340^2 + 24588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10874365344.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2095087 + ... + 2100270.

Almost surely, 210874365344 is an apocalyptic number.

It is an amenable number.

10874365344 is an abundant number, since it is smaller than the sum of its proper divisors (21106848690).

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

10874365344 is an equidigital number, since it uses as much as digits as its factorization.

10874365344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195379 (or 4195362 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 10874365344 in words is "ten billion, eight hundred seventy-four million, three hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4195357 8390714 12586071 16781428 25172142 33562856 37758213 50344284 67125712 75516426 100688568 113274639 134251424 151032852 201377136 226549278 302065704 339823917 402754272 453098556 604131408 679647834 906197112 1208262816 1359295668 1812394224 2718591336 3624788448 5437182672 10874365344