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10475764038 = 23217191801817
BaseRepresentation
bin10011100000110011…
…10111100101000110
31000001001222221200200
421300121313211012
5132423243422123
64451255551330
7520412345055
oct116031674506
930031887620
1010475764038
114496328633
12204438b546
13cac43805c
1471540a39c
15414a3a143
hex270677946

10475764038 has 48 divisors (see below), whose sum is σ = 25297524720. Its totient is φ = 3113538048.

The previous prime is 10475764031. The next prime is 10475764049. The reversal of 10475764038 is 83046757401.

10475764038 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 576 + 40 + 38 = 666.

10475764038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10475763984 and 10475764002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10475764031) 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, 895095 + ... + 906722.

It is an arithmetic number, because the mean of its divisors is an integer number (527031765).

Almost surely, 210475764038 is an apocalyptic number.

10475764038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10475764038 is an abundant number, since it is smaller than the sum of its proper divisors (14821760682).

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

10475764038 is a wasteful number, since it uses less digits than its factorization.

10475764038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801861 (or 1801858 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10475764038 in words is "ten billion, four hundred seventy-five million, seven hundred sixty-four thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 1801817 3603634 5405451 10810902 16216353 30630889 32432706 34234523 61261778 68469046 91892667 102703569 183785334 205407138 275678001 308110707 551356002 581986891 616221414 1163973782 1745960673 3491921346 5237882019 10475764038