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30255406464 = 273174634713
BaseRepresentation
bin11100001011010111…
…001101110110000000
32220002112212220011210
4130023113031312000
5443430341001324
621522114210120
72120520466053
oct341327156600
986075786153
1030255406464
111191642a758
125a44583940
132b1227b59a
141670330a9a
15bc1279d29
hex70b5cdd80

30255406464 has 64 divisors (see below), whose sum is σ = 85093349040. Its totient is φ = 9491890176.

The previous prime is 30255406459. The next prime is 30255406487. The reversal of 30255406464 is 46460455203.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2310829 + ... + 2323884.

Almost surely, 230255406464 is an apocalyptic number.

30255406464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

30255406464 is an abundant number, since it is smaller than the sum of its proper divisors (54837942576).

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

30255406464 is a wasteful number, since it uses less digits than its factorization.

30255406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634747 (or 4634735 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 30255406464 in words is "thirty billion, two hundred fifty-five million, four hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 4634713 9269426 13904139 18538852 27808278 37077704 55616556 74155408 78790121 111233112 148310816 157580242 222466224 236370363 296621632 315160484 444932448 472740726 593243264 630320968 889864896 945481452 1260641936 1779729792 1890962904 2521283872 3781925808 5042567744 7563851616 10085135488 15127703232 30255406464