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10803948408 = 23321113641349
BaseRepresentation
bin10100000111111011…
…10010101101111000
31000212221112110000100
422003331302231320
5134111302322113
64544022035400
7531506021601
oct120375625570
930787473010
1010803948408
114644602390
122116278b60
1310324235a6
14746c38da8
15433764d73
hex283f72b78

10803948408 has 48 divisors (see below), whose sum is σ = 31920759000. Its totient is φ = 3273923520.

The previous prime is 10803948373. The next prime is 10803948427. The reversal of 10803948408 is 80484930801.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6819883 + ... + 6821466.

Almost surely, 210803948408 is an apocalyptic number.

10803948408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10803948408 is an abundant number, since it is smaller than the sum of its proper divisors (21116810592).

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

10803948408 is a wasteful number, since it uses less digits than its factorization.

10803948408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641372 (or 13641365 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10803948408 in words is "ten billion, eight hundred three million, nine hundred forty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 13641349 27282698 40924047 54565396 81848094 109130792 122772141 150054839 163696188 245544282 300109678 327392376 450164517 491088564 600219356 900329034 982177128 1200438712 1350493551 1800658068 2700987102 3601316136 5401974204 10803948408