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10238094720 = 273257318191
BaseRepresentation
bin10011000100011110…
…01110110110000000
3222102111210002200100
421202033032312000
5131431423012340
64411525522400
7511465240440
oct114217166600
928374702610
1010238094720
114384157107
121b98873400
13c72122019
146d1a20120
153edc3e830
hex2623ced80

10238094720 has 384 divisors, whose sum is σ = 41712353280. Its totient is φ = 2264371200.

The previous prime is 10238094709. The next prime is 10238094733. The reversal of 10238094720 is 2749083201.

10238094720 is a `hidden beast` number, since 102 + 3 + 80 + 9 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1245825 + ... + 1254015.

It is an arithmetic number, because the mean of its divisors is an integer number (108625920).

Almost surely, 210238094720 is an apocalyptic number.

10238094720 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 10238094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856176640).

10238094720 is an abundant number, since it is smaller than the sum of its proper divisors (31474258560).

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

10238094720 is a wasteful number, since it uses less digits than its factorization.

10238094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10238094720 in words is "ten billion, two hundred thirty-eight million, ninety-four thousand, seven hundred twenty".