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30924645696 = 263373182471
BaseRepresentation
bin11100110011010000…
…001010010101000000
32221211012011202211000
4130303100022111000
51001313202130241
622112342252000
72143225102620
oct346320122500
987735152730
1030924645696
111212a17a02a
125bb0727000
132bbab0a629
1416d517c880
15c0edc2eb6
hex73340a540

30924645696 has 224 divisors, whose sum is σ = 107253186560. Its totient is φ = 8550489600.

The previous prime is 30924645649. The next prime is 30924645749. The reversal of 30924645696 is 69654642903.

30924645696 is a `hidden beast` number, since 3 + 0 + 92 + 464 + 5 + 6 + 96 = 666.

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

It is a super-2 number, since 2×309246456962 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 333741 + ... + 416211.

Almost surely, 230924645696 is an apocalyptic number.

30924645696 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 30924645696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53626593280).

30924645696 is an abundant number, since it is smaller than the sum of its proper divisors (76328540864).

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

30924645696 is a wasteful number, since it uses less digits than its factorization.

30924645696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82530 (or 82514 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 30924645696 in words is "thirty billion, nine hundred twenty-four million, six hundred forty-five thousand, six hundred ninety-six".