Search a number
-
+
107537693657 = 294190443813
BaseRepresentation
bin110010000100110111…
…1101111101111011001
3101021120111010212001212
41210021233233233121
53230214122144112
6121222505552505
710524612212522
oct1441157575731
9337514125055
10107537693657
1141674251999
1218a121a5735
13a1aa3375c4
1452c2185849
152be5d65522
hex1909befbd9

107537693657 has 8 divisors (see below), whose sum is σ = 113959205640. Its totient is φ = 101297069440.

The previous prime is 107537693639. The next prime is 107537693693. The reversal of 107537693657 is 756396735701.

It can be written as a sum of positive squares in 4 ways, for example, as 5804763721 + 101732929936 = 76189^2 + 318956^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107537693657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107537693596 and 107537693605.

It is not an unprimeable number, because it can be changed into a prime (107537693057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45220718 + ... + 45223095.

It is an arithmetic number, because the mean of its divisors is an integer number (14244900705).

Almost surely, 2107537693657 is an apocalyptic number.

It is an amenable number.

107537693657 is a deficient number, since it is larger than the sum of its proper divisors (6421511983).

107537693657 is an equidigital number, since it uses as much as digits as its factorization.

107537693657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90443883.

The product of its (nonzero) digits is 25004700, while the sum is 59.

The spelling of 107537693657 in words is "one hundred seven billion, five hundred thirty-seven million, six hundred ninety-three thousand, six hundred fifty-seven".

Divisors: 1 29 41 1189 90443813 2622870577 3708196333 107537693657