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30924313056 = 253371319127163
BaseRepresentation
bin11100110011001110…
…111001000111100000
32221211011112212112000
4130303032321013200
51001313111004211
622112331204000
72143222216050
oct346316710740
987734485460
1030924313056
1112129a7211a
125bb05a6600
132bbaa220c0
1416d50d3560
15c0ed59656
hex7333b91e0

30924313056 has 768 divisors, whose sum is σ = 118495641600. Its totient is φ = 7618738176.

The previous prime is 30924313039. The next prime is 30924313109. The reversal of 30924313056 is 65031342903.

It is a happy number.

30924313056 is a `hidden beast` number, since 309 + 2 + 43 + 1 + 305 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30924313056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189719631 + ... + 189719793.

It is an arithmetic number, because the mean of its divisors is an integer number (154291200).

Almost surely, 230924313056 is an apocalyptic number.

30924313056 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 30924313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59247820800).

30924313056 is an abundant number, since it is smaller than the sum of its proper divisors (87571328544).

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

30924313056 is a wasteful number, since it uses less digits than its factorization.

30924313056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 30924313056 its reverse (65031342903), we get a palindrome (95955655959).

The spelling of 30924313056 in words is "thirty billion, nine hundred twenty-four million, three hundred thirteen thousand, fifty-six".