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42228737568 = 2532941155821
BaseRepresentation
bin100111010101000001…
…110110011000100000
311000222222211010200100
4213111001312120200
51142441024100233
631222152222400
73023316226653
oct472501663040
9130888733610
1042228737568
1116a00026616
12822639aa00
133c9ca363a4
1420885a989a
1511724cd813
hex9d5076620

42228737568 has 72 divisors (see below), whose sum is σ = 120216361356. Its totient is φ = 14061196800.

The previous prime is 42228737543. The next prime is 42228737581. The reversal of 42228737568 is 86573782224.

42228737568 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 8 + 73 + 7 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38583959184 + 3644778384 = 196428^2 + 60372^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193098 + ... + 348918.

Almost surely, 242228737568 is an apocalyptic number.

42228737568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42228737568 is an abundant number, since it is smaller than the sum of its proper divisors (77987623788).

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

42228737568 is a wasteful number, since it uses less digits than its factorization.

42228737568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156778 (or 156767 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 42228737568 in words is "forty-two billion, two hundred twenty-eight million, seven hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 941 1882 2823 3764 5646 7528 8469 11292 15056 16938 22584 30112 33876 45168 67752 90336 135504 155821 271008 311642 467463 623284 934926 1246568 1402389 1869852 2493136 2804778 3739704 4986272 5609556 7479408 11219112 14958816 22438224 44876448 146627561 293255122 439882683 586510244 879765366 1173020488 1319648049 1759530732 2346040976 2639296098 3519061464 4692081952 5278592196 7038122928 10557184392 14076245856 21114368784 42228737568