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10399834368 = 283271131261
BaseRepresentation
bin10011010111110000…
…01110000100000000
3222211210010022202200
421223320032010000
5132244324144433
64435544313200
7515501063550
oct115370160400
928753108680
1010399834368
114457487540
122022a72800
13c997a1561
147092c3160
1540d03c613
hex26be0e100

10399834368 has 648 divisors, whose sum is σ = 39262362048. Its totient is φ = 2571264000.

The previous prime is 10399834363. The next prime is 10399834421. The reversal of 10399834368 is 86343899301.

It is not an unprimeable number, because it can be changed into a prime (10399834363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170489058 + ... + 170489118.

Almost surely, 210399834368 is an apocalyptic number.

10399834368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10399834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19631181024).

10399834368 is an abundant number, since it is smaller than the sum of its proper divisors (28862527680).

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

10399834368 is a wasteful number, since it uses less digits than its factorization.

10399834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 10399834368 in words is "ten billion, three hundred ninety-nine million, eight hundred thirty-four thousand, three hundred sixty-eight".