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930406256793 = 32137952190229
BaseRepresentation
bin11011000101000001000…
…10001101000010011001
310021221112121111222011100
431202200202031002121
5110220433000204133
61551231151022013
7124135222460346
oct15424042150231
93257477458140
10930406256793
11329646092642
1213039b20a909
1369977073630
14330637837cd
1519306b52e13
hexd8a088d099

930406256793 has 12 divisors (see below), whose sum is σ = 1447298621860. Its totient is φ = 572557696416.

The previous prime is 930406256777. The next prime is 930406256809. The reversal of 930406256793 is 397652604039.

930406256793 is a `hidden beast` number, since 9 + 3 + 0 + 4 + 0 + 625 + 6 + 7 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (930406256777) and next prime (930406256809).

It can be written as a sum of positive squares in 2 ways, for example, as 643183148169 + 287223108624 = 801987^2 + 535932^2 .

It is not a de Polignac number, because 930406256793 - 24 = 930406256777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (930406256723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3976094998 + ... + 3976095231.

Almost surely, 2930406256793 is an apocalyptic number.

It is an amenable number.

930406256793 is a deficient number, since it is larger than the sum of its proper divisors (516892365067).

930406256793 is a wasteful number, since it uses less digits than its factorization.

930406256793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952190248 (or 7952190245 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 930406256793 in words is "nine hundred thirty billion, four hundred six million, two hundred fifty-six thousand, seven hundred ninety-three".

Divisors: 1 3 9 13 39 117 7952190229 23856570687 71569712061 103378472977 310135418931 930406256793