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10752704313 = 313436411869
BaseRepresentation
bin10100000001110100…
…10011111100111001
31000202101002222022220
422000322103330321
5134010143014223
64534551434253
7530314323111
oct120072237471
930671088286
1010752704313
11461869199a
122101085989
131024920b40
147400da041
1542dee16e3
hex280e93f39

10752704313 has 16 divisors (see below), whose sum is σ = 15798847680. Its totient is φ = 6463162944.

The previous prime is 10752704251. The next prime is 10752704329. The reversal of 10752704313 is 31340725701.

10752704313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10752704313 - 214 = 10752687929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10752704353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3204258 + ... + 3207611.

It is an arithmetic number, because the mean of its divisors is an integer number (987427980).

Almost surely, 210752704313 is an apocalyptic number.

10752704313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10752704313 is a deficient number, since it is larger than the sum of its proper divisors (5046143367).

10752704313 is a wasteful number, since it uses less digits than its factorization.

10752704313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411928.

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 10752704313 in words is "ten billion, seven hundred fifty-two million, seven hundred four thousand, three hundred thirteen".

Divisors: 1 3 13 39 43 129 559 1677 6411869 19235607 83354297 250062891 275710367 827131101 3584234771 10752704313