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10924006680 = 233651919717
BaseRepresentation
bin10100010110001111…
…10001110100011000
31001012022110001000000
422023013301310120
5134333021203210
65003551213000
7534464344656
oct121307616430
931168401000
1010924006680
1146a63539a4
12214a517160
13105126aba2
14758b6bdd6
1543e07cac0
hex28b1f1d18

10924006680 has 224 divisors, whose sum is σ = 38793193200. Its totient is φ = 2759609088.

The previous prime is 10924006673. The next prime is 10924006739. The reversal of 10924006680 is 8660042901.

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 55 ways as a sum of consecutive naturals, for example, 544182 + ... + 563898.

Almost surely, 210924006680 is an apocalyptic number.

10924006680 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 10924006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396596600).

10924006680 is an abundant number, since it is smaller than the sum of its proper divisors (27869186520).

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

10924006680 is a wasteful number, since it uses less digits than its factorization.

10924006680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19765 (or 19746 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10924006680 in words is "ten billion, nine hundred twenty-four million, six thousand, six hundred eighty".