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30453405696 = 2113272331013
BaseRepresentation
bin11100010111001010…
…100001100000000000
32220121100110022001200
4130113022201200000
5444332032440241
621553510101200
72125443451230
oct342712414000
986540408050
1030453405696
1111a0817648a
125a9a94a800
132b442b4cac
14168c751cc0
15bd383b4b6
hex7172a1800

30453405696 has 288 divisors, whose sum is σ = 101051102880. Its totient is φ = 8655077376.

The previous prime is 30453405683. The next prime is 30453405701. The reversal of 30453405696 is 69650435403.

30453405696 is a `hidden beast` number, since 3 + 0 + 45 + 3 + 40 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30062086 + ... + 30063098.

It is an arithmetic number, because the mean of its divisors is an integer number (350871885).

Almost surely, 230453405696 is an apocalyptic number.

30453405696 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 30453405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50525551440).

30453405696 is an abundant number, since it is smaller than the sum of its proper divisors (70597697184).

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

30453405696 is a wasteful number, since it uses less digits than its factorization.

30453405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 30453405696 in words is "thirty billion, four hundred fifty-three million, four hundred five thousand, six hundred ninety-six".