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30853599504 = 24372132373601
BaseRepresentation
bin11100101111000001…
…001001000100010000
32221122020111020202120
4130233001021010100
51001142010141004
622101323414240
72141403161100
oct345701110420
987566436676
1030853599504
11120a3063a72
125b90984380
132ba9193870
1416c9967200
15c08a3c3d9
hex72f049110

30853599504 has 480 divisors, whose sum is σ = 105794728704. Its totient is φ = 7664025600.

The previous prime is 30853599487. The next prime is 30853599533. The reversal of 30853599504 is 40599535803.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 51336804 + ... + 51337404.

Almost surely, 230853599504 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 30853599504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52897364352).

30853599504 is an abundant number, since it is smaller than the sum of its proper divisors (74941129200).

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

30853599504 is a wasteful number, since it uses less digits than its factorization.

30853599504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 30853599504 in words is "thirty billion, eight hundred fifty-three million, five hundred ninety-nine thousand, five hundred four".