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10009374720 = 212351011613
BaseRepresentation
bin10010101001001101…
…01111000000000000
3221211120101220211020
421110212233000000
5130444344442340
64333115345440
7503020165332
oct112446570000
927746356736
1010009374720
114277038414
121b34152280
13c36920547
146ad4c3452
153d8b109d0
hex2549af000

10009374720 has 208 divisors, whose sum is σ = 32363230752. Its totient is φ = 2641100800.

The previous prime is 10009374719. The next prime is 10009374827. The reversal of 10009374720 is 2747390001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6204634 + ... + 6206246.

Almost surely, 210009374720 is an apocalyptic number.

10009374720 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 10009374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181615376).

10009374720 is an abundant number, since it is smaller than the sum of its proper divisors (22353856032).

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

10009374720 is a wasteful number, since it uses less digits than its factorization.

10009374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 10009374720 in words is "ten billion, nine million, three hundred seventy-four thousand, seven hundred twenty".