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10428750720 = 2732510716921
BaseRepresentation
bin10011011011001101…
…00001101110000000
3222220210112102112200
421231212201232000
5132324230010340
64442500153200
7516301630023
oct115546415600
928823472480
1010428750720
114471837853
122030698800
13ca278721b
1470d08d1ba
15410850330
hex26d9a1b80

10428750720 has 192 divisors, whose sum is σ = 36350486640. Its totient is φ = 2754846720.

The previous prime is 10428750719. The next prime is 10428750751. The reversal of 10428750720 is 2705782401.

10428750720 is a `hidden beast` number, since 10 + 42 + 87 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607860 + ... + 624780.

Almost surely, 210428750720 is an apocalyptic number.

10428750720 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 10428750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175243320).

10428750720 is an abundant number, since it is smaller than the sum of its proper divisors (25921735920).

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

10428750720 is a wasteful number, since it uses less digits than its factorization.

10428750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17053 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10428750720 in words is "ten billion, four hundred twenty-eight million, seven hundred fifty thousand, seven hundred twenty".