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642087398664 = 233281011100837
BaseRepresentation
bin10010101011111110110…
…01000010110100001000
32021101100011201102122100
421111333121002310020
541004443333224124
61210545413153400
764250344560135
oct11257731026410
92241304642570
10642087398664
112283426630a8
12a453592b860
1348719307cba
1423111b7b58c
1511a7ec2d1c9
hex957f642d08

642087398664 has 48 divisors (see below), whose sum is σ = 1739202947820. Its totient is φ = 214002518400.

The previous prime is 642087398663. The next prime is 642087398767. The reversal of 642087398664 is 466893780246.

642087398664 is a `hidden beast` number, since 6 + 420 + 8 + 73 + 9 + 86 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 416357886564 + 225729512100 = 645258^2 + 475110^2 .

It is not an unprimeable number, because it can be changed into a prime (642087398663) by changing a digit.

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, 32854 + ... + 1133690.

Almost surely, 2642087398664 is an apocalyptic number.

It is an amenable number.

642087398664 is an abundant number, since it is smaller than the sum of its proper divisors (1097115549156).

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

642087398664 is a wasteful number, since it uses less digits than its factorization.

642087398664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108950 (or 1108943 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 642087398664 in words is "six hundred forty-two billion, eighty-seven million, three hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8101 16202 24303 32404 48606 64808 72909 97212 145818 194424 291636 583272 1100837 2201674 3302511 4403348 6605022 8806696 9907533 13210044 19815066 26420088 39630132 79260264 8917880537 17835761074 26753641611 35671522148 53507283222 71343044296 80260924833 107014566444 160521849666 214029132888 321043699332 642087398664