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642837487373334 = 235111371837147777
BaseRepresentation
bin1001001000101010000100010…
…0000101010100110000010110
310010022002122220202220122200000
42102022201010011110300112
51133224222133231421314
610155111244222432130
7252255322130126511
oct22212410405246026
93108078822818600
10642837487373334
11176911935979a70
1260122265a32646
1321790412c36c16
14b4a570114dd78
154e4ba292be209
hex248a844154c16

642837487373334 has 192 divisors, whose sum is σ = 1587330545778432. Its totient is φ = 193362772838400.

The previous prime is 642837487373321. The next prime is 642837487373339. The reversal of 642837487373334 is 433373784738246.

642837487373334 is a `hidden beast` number, since 6 + 4 + 2 + 83 + 7 + 487 + 3 + 7 + 33 + 34 = 666.

It is a super-2 number, since 2×6428374873733342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642837487373339) 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 95 ways as a sum of consecutive naturals, for example, 13454933254 + ... + 13454981030.

It is an arithmetic number, because the mean of its divisors is an integer number (8267346592596).

Almost surely, 2642837487373334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642837487373334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793665272889216).

642837487373334 is an abundant number, since it is smaller than the sum of its proper divisors (944493058405098).

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

642837487373334 is a wasteful number, since it uses less digits than its factorization.

642837487373334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66313 (or 66301 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 72.

The spelling of 642837487373334 in words is "six hundred forty-two trillion, eight hundred thirty-seven billion, four hundred eighty-seven million, three hundred seventy-three thousand, three hundred thirty-four".