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234861890976 = 2532978407141
BaseRepresentation
bin1101101010111011011…
…1000000110110100000
3211110012221002020110200
43122232313000312200
512321444121002401
6255521041225200
722653045064056
oct3325667006640
9743187066420
10234861890976
1190671461949
1239626932200
13191bba4842b
14b52011a1d6
156198d23686
hex36aedc0da0

234861890976 has 72 divisors (see below), whose sum is σ = 674774031204. Its totient is φ = 77480202240.

The previous prime is 234861890969. The next prime is 234861890981. The reversal of 234861890976 is 679098168432.

234861890976 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 618 + 9 + 0 + 9 + 7 + 6 = 666.

234861890976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 224391690000 + 10470200976 = 473700^2 + 102324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4175635 + ... + 4231506.

Almost surely, 2234861890976 is an apocalyptic number.

It is an amenable number.

234861890976 is an abundant number, since it is smaller than the sum of its proper divisors (439912140228).

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

234861890976 is a wasteful number, since it uses less digits than its factorization.

234861890976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407254 (or 8407243 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 234861890976 in words is "two hundred thirty-four billion, eight hundred sixty-one million, eight hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 8407141 16814282 25221423 33628564 50442846 67257128 75664269 100885692 134514256 151328538 201771384 269028512 302657076 403542768 605314152 807085536 815492677 1210628304 1630985354 2421256608 2446478031 3261970708 4892956062 6523941416 7339434093 9785912124 13047882832 14678868186 19571824248 26095765664 29357736372 39143648496 58715472744 78287296992 117430945488 234861890976