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10642642345 = 517125207557
BaseRepresentation
bin10011110100101100…
…11101010110101001
31000110201000020200201
421322112131112221
5133244004023340
64520020432201
7524506652536
oct117226352651
930421006621
1010642642345
114571548795
122090248661
131007b9650a
1472d649d8d
1542450079a
hex27a59d5a9

10642642345 has 8 divisors (see below), whose sum is σ = 13522416264. Its totient is φ = 8013283584.

The previous prime is 10642642337. The next prime is 10642642391. The reversal of 10642642345 is 54324624601.

It can be written as a sum of positive squares in 4 ways, for example, as 5575907584 + 5066734761 = 74672^2 + 71181^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10642642345 - 23 = 10642642337 is a prime.

It is a super-2 number, since 2×106426423452 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62603694 + ... + 62603863.

It is an arithmetic number, because the mean of its divisors is an integer number (1690302033).

Almost surely, 210642642345 is an apocalyptic number.

It is an amenable number.

10642642345 is a deficient number, since it is larger than the sum of its proper divisors (2879773919).

10642642345 is a wasteful number, since it uses less digits than its factorization.

10642642345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125207579.

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 10642642345 in words is "ten billion, six hundred forty-two million, six hundred forty-two thousand, three hundred forty-five".

Divisors: 1 5 17 85 125207557 626037785 2128528469 10642642345