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10009426392 = 2333721516263
BaseRepresentation
bin10010101001001101…
…11011100111011000
3221211120111112201000
421110212323213120
5130444403121032
64333120425000
7503020502100
oct112446734730
927746445630
1010009426392
114277073219
121b34178160
13c3693ac14
146ad4d8200
153d8b20e7c
hex2549bb9d8

10009426392 has 192 divisors, whose sum is σ = 32562777600. Its totient is φ = 2840443200.

The previous prime is 10009426367. The next prime is 10009426397. The reversal of 10009426392 is 29362490001.

10009426392 is a `hidden beast` number, since 10 + 0 + 0 + 9 + 4 + 2 + 639 + 2 = 666.

It is a super-2 number, since 2×100094263922 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009426397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595053 + ... + 1601315.

It is an arithmetic number, because the mean of its divisors is an integer number (169597800).

Almost surely, 210009426392 is an apocalyptic number.

10009426392 is a gapful number since it is divisible by the number (12) 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 10009426392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16281388800).

10009426392 is an abundant number, since it is smaller than the sum of its proper divisors (22553351208).

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

10009426392 is a wasteful number, since it uses less digits than its factorization.

10009426392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10009426392 in words is "ten billion, nine million, four hundred twenty-six thousand, three hundred ninety-two".