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233046464640332 = 22743385322534481
BaseRepresentation
bin110100111111010001011011…
…101111011011010101001100
31010120011000122211000101101112
4310333101123233123111030
5221021213124421442312
62143352022354431152
7100042023434133620
oct6477213357332514
91116130584011345
10233046464640332
116828a4a5865082
1222179b715924b8
13a006258700a35
14417971ac73180
151be21178acd22
hexd3f45bbdb54c

233046464640332 has 48 divisors (see below), whose sum is σ = 467717055150912. Its totient is φ = 99529570160640.

The previous prime is 233046464640317. The next prime is 233046464640361.

233046464640332 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925469 + ... + 21609012.

It is an arithmetic number, because the mean of its divisors is an integer number (9744105315644).

Almost surely, 2233046464640332 is an apocalyptic number.

It is an amenable number.

233046464640332 is an abundant number, since it is smaller than the sum of its proper divisors (234670590510580).

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

233046464640332 is a wasteful number, since it uses less digits than its factorization.

233046464640332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22535778 (or 22535776 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 50.

The spelling of 233046464640332 in words is "two hundred thirty-three trillion, forty-six billion, four hundred sixty-four million, six hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 433 853 866 1706 1732 3031 3412 5971 6062 11942 12124 23884 369349 738698 1477396 2585443 5170886 10341772 22534481 45068962 90137924 157741367 315482734 630965468 9757430273 19221912293 19514860546 38443824586 39029721092 68302011911 76887649172 134553386051 136604023822 269106772102 273208047644 538213544204 8323088022869 16646176045738 33292352091476 58261616160083 116523232320166 233046464640332