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30912225696 = 2534115771879
BaseRepresentation
bin11100110010100000…
…110010000110100000
32221210022210202210000
4130302200302012200
51001302012210241
622111220140000
72143014403662
oct346240620640
987708722700
1030912225696
1112123166770
125ba8537600
132bb837c411
1416d3668532
15c0dc6ceb6
hex7328321a0

30912225696 has 240 divisors, whose sum is σ = 99401480640. Its totient is φ = 9346129920.

The previous prime is 30912225679. The next prime is 30912225697. The reversal of 30912225696 is 69652221903.

30912225696 is a `hidden beast` number, since 309 + 1 + 2 + 2 + 256 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (30912225697) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 16450485 + ... + 16452363.

It is an arithmetic number, because the mean of its divisors is an integer number (414172836).

Almost surely, 230912225696 is an apocalyptic number.

30912225696 is a gapful number since it is divisible by the number (36) 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 30912225696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49700740320).

30912225696 is an abundant number, since it is smaller than the sum of its proper divisors (68489254944).

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

30912225696 is a wasteful number, since it uses less digits than its factorization.

30912225696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 30912225696 in words is "thirty billion, nine hundred twelve million, two hundred twenty-five thousand, six hundred ninety-six".