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30913166592 = 2834711191019
BaseRepresentation
bin11100110010100100…
…010111110100000000
32221210101120120110000
4130302210113310000
51001302232312332
622111252240000
72143025403060
oct346244276400
987711516400
1030913166592
1112123749670
125ba8910000
132bb861b769
1416d38313a0
15c0dda6b7c
hex732917d00

30913166592 has 720 divisors, whose sum is σ = 121089830400. Its totient is φ = 7599329280.

The previous prime is 30913166587. The next prime is 30913166621. The reversal of 30913166592 is 29566131903.

30913166592 is a `hidden beast` number, since 30 + 9 + 13 + 16 + 6 + 592 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30336259 + ... + 30337277.

It is an arithmetic number, because the mean of its divisors is an integer number (168180320).

Almost surely, 230913166592 is an apocalyptic number.

30913166592 is a gapful number since it is divisible by the number (32) 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 30913166592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60544915200).

30913166592 is an abundant number, since it is smaller than the sum of its proper divisors (90176663808).

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

30913166592 is a wasteful number, since it uses less digits than its factorization.

30913166592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 30913166592 in words is "thirty billion, nine hundred thirteen million, one hundred sixty-six thousand, five hundred ninety-two".