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642531246643 = 11138354135247
BaseRepresentation
bin10010101100110011101…
…10001100001000110011
32021102111002220020121101
421112121312030020303
541011400444343033
61211101430305231
764264344324436
oct11263166141063
92242432806541
10642531246643
11228550157710
12a463a4b8217
134878a25c740
1423154ab781d
1511aa8ba397d
hex9599d8c233

642531246643 has 16 divisors (see below), whose sum is σ = 763956619776. Its totient is φ = 532690820640.

The previous prime is 642531246613. The next prime is 642531246671. The reversal of 642531246643 is 346642135246.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-642531246643 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 642531246593 and 642531246602.

It is not an unprimeable number, because it can be changed into a prime (642531246613) 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 15 ways as a sum of consecutive naturals, for example, 27055755 + ... + 27079492.

It is an arithmetic number, because the mean of its divisors is an integer number (47747288736).

Almost surely, 2642531246643 is an apocalyptic number.

642531246643 is a deficient number, since it is larger than the sum of its proper divisors (121425373133).

642531246643 is a wasteful number, since it uses less digits than its factorization.

642531246643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54135354.

The product of its digits is 2488320, while the sum is 46.

The spelling of 642531246643 in words is "six hundred forty-two billion, five hundred thirty-one million, two hundred forty-six thousand, six hundred forty-three".

Divisors: 1 11 13 83 143 913 1079 11869 54135247 595487717 703758211 4493225501 7741340321 49425480511 58411931513 642531246643