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107647131617 is a prime number
BaseRepresentation
bin110010001000001000…
…1001101111111100001
3101021212010001212201122
41210100101031333201
53230430131202432
6121241415342025
710530411343604
oct1442021157741
9337763055648
10107647131617
114171aaaa293
1218a42981915
13a1c6c03bac
1452d291233b
152c00781612
hex191044dfe1

107647131617 has 2 divisors, whose sum is σ = 107647131618. Its totient is φ = 107647131616.

The previous prime is 107647131607. The next prime is 107647131643. The reversal of 107647131617 is 716131746701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98395769761 + 9251361856 = 313681^2 + 96184^2 .

It is a cyclic number.

It is not a de Polignac number, because 107647131617 - 210 = 107647130593 is a prime.

It is not a weakly prime, because it can be changed into another prime (107647131607) 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 as a sum of consecutive naturals, namely, 53823565808 + 53823565809.

It is an arithmetic number, because the mean of its divisors is an integer number (53823565809).

Almost surely, 2107647131617 is an apocalyptic number.

It is an amenable number.

107647131617 is a deficient number, since it is larger than the sum of its proper divisors (1).

107647131617 is an equidigital number, since it uses as much as digits as its factorization.

107647131617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 148176, while the sum is 44.

The spelling of 107647131617 in words is "one hundred seven billion, six hundred forty-seven million, one hundred thirty-one thousand, six hundred seventeen".