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9904754496 = 2637131793167
BaseRepresentation
bin10010011100101111…
…01000111101000000
3221120021112122212010
421032113220331000
5130241104120441
64314501132520
7500310011160
oct111627507500
927507478763
109904754496
114222a8071a
121b050ba140
13c1b04caa0
1469d64c5a0
153ce847116
hex24e5e8f40

9904754496 has 224 divisors, whose sum is σ = 32444375040. Its totient is φ = 2596829184.

The previous prime is 9904754471. The next prime is 9904754501. The reversal of 9904754496 is 6944574099.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3125905 + ... + 3129071.

It is an arithmetic number, because the mean of its divisors is an integer number (144840960).

Almost surely, 29904754496 is an apocalyptic number.

9904754496 is a gapful number since it is divisible by the number (96) 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 9904754496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222187520).

9904754496 is an abundant number, since it is smaller than the sum of its proper divisors (22539620544).

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

9904754496 is a wasteful number, since it uses less digits than its factorization.

9904754496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The square root of 9904754496 is about 99522.6330841382. The cubic root of 9904754496 is about 2147.5728511278.

The spelling of 9904754496 in words is "nine billion, nine hundred four million, seven hundred fifty-four thousand, four hundred ninety-six".