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10379223360 = 263451159617
BaseRepresentation
bin10011010101010011…
…00110000101000000
3222210100100011210000
421222221212011000
5132224040121420
64433530440000
7515130641262
oct115251460500
928710304700
1010379223360
11444688a150
122017b93000
13c95435cac
14706679b32
1540b31a690
hex26aa66140

10379223360 has 560 divisors, whose sum is σ = 41026201920. Its totient is φ = 2469519360.

The previous prime is 10379223259. The next prime is 10379223433. The reversal of 10379223360 is 6332297301.

10379223360 is a `hidden beast` number, since 1 + 0 + 3 + 79 + 223 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 16821772 + ... + 16822388.

Almost surely, 210379223360 is an apocalyptic number.

10379223360 is a gapful number since it is divisible by the number (10) 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 10379223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513100960).

10379223360 is an abundant number, since it is smaller than the sum of its proper divisors (30646978560).

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

10379223360 is a wasteful number, since it uses less digits than its factorization.

10379223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 10379223360 in words is "ten billion, three hundred seventy-nine million, two hundred twenty-three thousand, three hundred sixty".