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9725425920 = 28335725743
BaseRepresentation
bin10010000111010111…
…00011100100000000
3221002210002211022000
421003223203210000
5124404202112140
64245013344000
7463001520300
oct110353434400
927083084260
109725425920
114140827491
121a75038000
13bbcb526c2
146838cb600
153bdc22a30
hex243ae3900

9725425920 has 432 divisors, whose sum is σ = 40153317120. Its totient is φ = 2222567424.

The previous prime is 9725425901. The next prime is 9725425973. The reversal of 9725425920 is 295245279.

9725425920 is a `hidden beast` number, since 9 + 7 + 2 + 54 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1690569 + ... + 1696311.

Almost surely, 29725425920 is an apocalyptic number.

9725425920 is a gapful number since it is divisible by the number (90) 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 9725425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076658560).

9725425920 is an abundant number, since it is smaller than the sum of its proper divisors (30427891200).

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

9725425920 is a wasteful number, since it uses less digits than its factorization.

9725425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9725425920 is about 98617.5740930591. The cubic root of 9725425920 is about 2134.5330162025.

The spelling of 9725425920 in words is "nine billion, seven hundred twenty-five million, four hundred twenty-five thousand, nine hundred twenty".