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10093776399 = 327941317021
BaseRepresentation
bin10010110011010001…
…01100111000001111
3222001110012222011100
421121220230320033
5131133001321044
64345332354143
7505063453350
oct113150547017
928043188140
1010093776399
11430a745673
121b58475953
13c4b262275
146ba7b3d27
153e1233869
hex259a2ce0f

10093776399 has 24 divisors (see below), whose sum is σ = 16665491232. Its totient is φ = 5766920640.

The previous prime is 10093776349. The next prime is 10093776403. The reversal of 10093776399 is 99367739001.

10093776399 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10093776399 - 212 = 10093772303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093776349) 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, 584509 + ... + 601529.

It is an arithmetic number, because the mean of its divisors is an integer number (694395468).

Almost surely, 210093776399 is an apocalyptic number.

10093776399 is a deficient number, since it is larger than the sum of its proper divisors (6571714833).

10093776399 is a wasteful number, since it uses less digits than its factorization.

10093776399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26447 (or 26444 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 54.

The spelling of 10093776399 in words is "ten billion, ninety-three million, seven hundred seventy-six thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 21 63 9413 17021 28239 51063 65891 84717 119147 153189 197673 357441 593019 1072323 160218673 480656019 1121530711 1441968057 3364592133 10093776399