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10516865344 = 26716013851
BaseRepresentation
bin10011100101101101…
…01010000101000000
31000010221100010002021
421302312222011000
5133014304142334
64455324531224
7521421610666
oct116266520500
930127303067
1010516865344
114507550657
1220560b0b14
13cb7ac8c5b
1471aa68c36
154184583b4
hex272daa140

10516865344 has 56 divisors (see below), whose sum is σ = 21204058176. Its totient is φ = 5174400000.

The previous prime is 10516865323. The next prime is 10516865347. The reversal of 10516865344 is 44356861501.

It is a super-2 number, since 2×105168653442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10516865344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516865347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2729019 + ... + 2732869.

It is an arithmetic number, because the mean of its divisors is an integer number (378643896).

Almost surely, 210516865344 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 10516865344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602029088).

10516865344 is an abundant number, since it is smaller than the sum of its proper divisors (10687192832).

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

10516865344 is an equidigital number, since it uses as much as digits as its factorization.

10516865344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 10516865344 in words is "ten billion, five hundred sixteen million, eight hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 601 1136 1202 2272 2404 3851 4544 4808 7702 9616 15404 19232 30808 38464 42671 61616 85342 123232 170684 246464 273421 341368 546842 682736 1093684 1365472 2187368 2314451 2730944 4374736 4628902 8749472 9257804 17498944 18515608 37031216 74062432 148124864 164326021 328652042 657304084 1314608168 2629216336 5258432672 10516865344