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10922370480 = 243457241839
BaseRepresentation
bin10100010110000011…
…00010010110110000
31001012012100220120000
422023001202112300
5134332111323410
65003452150000
7534444421500
oct121301422660
931165326500
1010922370480
1146a543666a
122149a68300
131050b17218
14758863a00
1543dd57dc0
hex28b0625b0

10922370480 has 600 divisors, whose sum is σ = 45258665760. Its totient is φ = 2432747520.

The previous prime is 10922370383. The next prime is 10922370499. The reversal of 10922370480 is 8407322901.

10922370480 is a `hidden beast` number, since 1 + 0 + 92 + 23 + 70 + 480 = 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 119 ways as a sum of consecutive naturals, for example, 13017901 + ... + 13018739.

Almost surely, 210922370480 is an apocalyptic number.

10922370480 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 10922370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629332880).

10922370480 is an abundant number, since it is smaller than the sum of its proper divisors (34336295280).

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

10922370480 is a wasteful number, since it uses less digits than its factorization.

10922370480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 897 counting only the distinct ones).

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

The spelling of 10922370480 in words is "ten billion, nine hundred twenty-two million, three hundred seventy thousand, four hundred eighty".