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230464463751 = 32107239319277
BaseRepresentation
bin1101011010100011000…
…0001010001110000111
3211000212110112210100200
43112220300022032013
512233442400320001
6253512433141543
722436060422404
oct3265060121607
9730773483320
10230464463751
11898151aa775
12387ba0ba8b3
131896a9a64a2
14b2240b12ab
155edcc47086
hex35a8c0a387

230464463751 has 12 divisors (see below), whose sum is σ = 336004266312. Its totient is φ = 152207059536.

The previous prime is 230464463741. The next prime is 230464463807. The reversal of 230464463751 is 157364464032.

230464463751 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 6 + 4 + 4 + 637 + 5 + 1 = 666.

It is not a de Polignac number, because 230464463751 - 210 = 230464462727 is a prime.

It is a super-2 number, since 2×2304644637512 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230464463697 and 230464463706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230464463711) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 119658676 + ... + 119660601.

It is an arithmetic number, because the mean of its divisors is an integer number (28000355526).

Almost surely, 2230464463751 is an apocalyptic number.

230464463751 is a deficient number, since it is larger than the sum of its proper divisors (105539802561).

230464463751 is a wasteful number, since it uses less digits than its factorization.

230464463751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239319390 (or 239319387 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 230464463751 in words is "two hundred thirty billion, four hundred sixty-four million, four hundred sixty-three thousand, seven hundred fifty-one".

Divisors: 1 3 9 107 321 963 239319277 717957831 2153873493 25607162639 76821487917 230464463751