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42275659968 = 26348155027
BaseRepresentation
bin100111010111110100…
…110110000011000000
311001010021010001010000
4213113310312003000
51143040032104333
631230550040000
73024426115653
oct472764660300
9131107101100
1042275659968
1116a24565063
12823a049000
133ca9684a19
14209090189a
15117669b713
hex9d7d360c0

42275659968 has 70 divisors (see below), whose sum is σ = 125318315276. Its totient is φ = 14091884928.

The previous prime is 42275659967. The next prime is 42275660017. The reversal of 42275659968 is 86995657224.

42275659968 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 565 + 9 + 9 + 68 = 666.

It is a super-2 number, since 2×422756599682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42275659961) 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 9 ways as a sum of consecutive naturals, for example, 4072330 + ... + 4082697.

Almost surely, 242275659968 is an apocalyptic number.

42275659968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42275659968 is an abundant number, since it is smaller than the sum of its proper divisors (83042655308).

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

42275659968 is an equidigital number, since it uses as much as digits as its factorization.

42275659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155051 (or 8155032 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 42275659968 in words is "forty-two billion, two hundred seventy-five million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8155027 16310054 24465081 32620108 48930162 65240216 73395243 97860324 130480432 146790486 195720648 220185729 260960864 293580972 391441296 440371458 521921728 587161944 660557187 782882592 880742916 1174323888 1321114374 1565765184 1761485832 2348647776 2642228748 3522971664 4697295552 5284457496 7045943328 10568914992 14091886656 21137829984 42275659968