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42351275808 = 2532147053041
BaseRepresentation
bin100111011100010101…
…010010111100100000
311001022112101201112200
4213130111102330200
51143213411311213
631242250453200
73026334622212
oct473425227440
9131275351480
1042351275808
1116a63211396
12825b434200
133cbc23b71a
14209a9865b2
15117d136273
hex9dc552f20

42351275808 has 36 divisors (see below), whose sum is σ = 120436441398. Its totient is φ = 14117091840.

The previous prime is 42351275777. The next prime is 42351275831. The reversal of 42351275808 is 80857215324.

42351275808 is a `hidden beast` number, since 42 + 3 + 5 + 1 + 27 + 580 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41132707344 + 1218568464 = 202812^2 + 34908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 73526233 + ... + 73526808.

Almost surely, 242351275808 is an apocalyptic number.

42351275808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42351275808 is an abundant number, since it is smaller than the sum of its proper divisors (78085165590).

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

42351275808 is a wasteful number, since it uses less digits than its factorization.

42351275808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147053057 (or 147053046 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 42351275808 in words is "forty-two billion, three hundred fifty-one million, two hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147053041 294106082 441159123 588212164 882318246 1176424328 1323477369 1764636492 2352848656 2646954738 3529272984 4705697312 5293909476 7058545968 10587818952 14117091936 21175637904 42351275808