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BaseRepresentation
bin10010011110000100…
…11011100111010000
3221121001122120110000
421033002123213100
5130301442101143
64315541410000
7500504241333
oct111702334720
927531576400
109915972048
114229342624
121b08a09900
13c204798a8
146a0d2c61a
153d0810bd3
hex24f09b9d0

9915972048 has 100 divisors (see below), whose sum is σ = 28720536768. Its totient is φ = 3302925120.

The previous prime is 9915972023. The next prime is 9915972107. The reversal of 9915972048 is 8402795199.

9915972048 is a `hidden beast` number, since 9 + 9 + 1 + 597 + 2 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9915971985 and 9915972003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3278665 + ... + 3281687.

Almost surely, 29915972048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9915972048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360268384).

9915972048 is an abundant number, since it is smaller than the sum of its proper divisors (18804564720).

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

9915972048 is a wasteful number, since it uses less digits than its factorization.

9915972048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 9915972048 is about 99578.9739252218. The cubic root of 9915972048 is about 2148.3832841831.

The spelling of 9915972048 in words is "nine billion, nine hundred fifteen million, nine hundred seventy-two thousand, forty-eight".