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107724525617 = 1742411494161
BaseRepresentation
bin110010001010011100…
…0011101000000110001
3101022001111200220100002
41210110320131000301
53231104434304432
6121253222235345
710532341234232
oct1442470350061
9338044626302
10107724525617
114175a760575
1218a64885b55
13a209c61067
1452dccdb089
152c0746ce62
hex1914e1d031

107724525617 has 8 divisors (see below), whose sum is σ = 114088233672. Its totient is φ = 101363814400.

The previous prime is 107724525553. The next prime is 107724525619. The reversal of 107724525617 is 716525427701.

It can be written as a sum of positive squares in 4 ways, for example, as 76309090081 + 31415435536 = 276241^2 + 177244^2 .

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 107724525617 - 26 = 107724525553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107724525619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674984 + ... + 819177.

It is an arithmetic number, because the mean of its divisors is an integer number (14261029209).

Almost surely, 2107724525617 is an apocalyptic number.

107724525617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107724525617 is a deficient number, since it is larger than the sum of its proper divisors (6363708055).

107724525617 is a wasteful number, since it uses less digits than its factorization.

107724525617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498419.

The product of its (nonzero) digits is 823200, while the sum is 47.

The spelling of 107724525617 in words is "one hundred seven billion, seven hundred twenty-four million, five hundred twenty-five thousand, six hundred seventeen".

Divisors: 1 17 4241 72097 1494161 25400737 6336736801 107724525617