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30331728864 = 2532105318503
BaseRepresentation
bin11100001111111010…
…010111001111100000
32220021212111110211100
4130033322113033200
5444104410310424
621533442114400
72122435304253
oct341772271740
986255443740
1030331728864
1111955519918
125a6604ba00
132b25021a78
14167a51b09a
15bc7d03dc9
hex70fe973e0

30331728864 has 36 divisors (see below), whose sum is σ = 86255854776. Its totient is φ = 10110576192.

The previous prime is 30331728853. The next prime is 30331728893. The reversal of 30331728864 is 46882713303.

30331728864 is a `hidden beast` number, since 30 + 331 + 7 + 288 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×303317288643 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52658964 + ... + 52659539.

It is an arithmetic number, because the mean of its divisors is an integer number (2395995966).

Almost surely, 230331728864 is an apocalyptic number.

It is an amenable number.

30331728864 is an abundant number, since it is smaller than the sum of its proper divisors (55924125912).

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

30331728864 is a wasteful number, since it uses less digits than its factorization.

30331728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105318519 (or 105318508 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 30331728864 in words is "thirty billion, three hundred thirty-one million, seven hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 105318503 210637006 315955509 421274012 631911018 842548024 947866527 1263822036 1685096048 1895733054 2527644072 3370192096 3791466108 5055288144 7582932216 10110576288 15165864432 30331728864