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10493765165 = 5132101122957
BaseRepresentation
bin10011100010111101…
…00010011000101101
31000002022212111121002
421301132202120231
5132442400441130
64453141450045
7521021350352
oct116136423055
930068774532
1010493765165
1144a55030a4
12204a410925
13cb309b700
14717974629
154163e3b45
hex2717a262d

10493765165 has 24 divisors (see below), whose sum is σ = 13770804168. Its totient is φ = 7672454400.

The previous prime is 10493765141. The next prime is 10493765167. The reversal of 10493765165 is 56156739401.

10493765165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 723233449 + 9770531716 = 26893^2 + 98846^2 .

It is not a de Polignac number, because 10493765165 - 28 = 10493764909 is a prime.

It is a super-2 number, since 2×104937651652 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10493765167) 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 23 ways as a sum of consecutive naturals, for example, 23867 + ... + 146823.

It is an arithmetic number, because the mean of its divisors is an integer number (573783507).

Almost surely, 210493765165 is an apocalyptic number.

It is an amenable number.

10493765165 is a deficient number, since it is larger than the sum of its proper divisors (3277039003).

10493765165 is a wasteful number, since it uses less digits than its factorization.

10493765165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123089 (or 123076 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The spelling of 10493765165 in words is "ten billion, four hundred ninety-three million, seven hundred sixty-five thousand, one hundred sixty-five".

Divisors: 1 5 13 65 101 169 505 845 1313 6565 17069 85345 122957 614785 1598441 7992205 12418657 20779733 62093285 103898665 161442541 807212705 2098753033 10493765165