Search a number
-
+
106937479657 = 1961791167937
BaseRepresentation
bin110001110010111111…
…0000111000111101001
3101020000122201211020201
41203211332013013221
53223001443322112
6121043145152201
710504003402501
oct1434576070751
9336018654221
10106937479657
1141396468268
121888518b661
13a112b954a8
145266584a01
152bad304257
hex18e5f871e9

106937479657 has 16 divisors (see below), whose sum is σ = 115859449600. Its totient is φ = 98386928640.

The previous prime is 106937479603. The next prime is 106937479667. The reversal of 106937479657 is 756974739601.

It is not a de Polignac number, because 106937479657 - 211 = 106937477609 is a prime.

It is a super-3 number, since 3×1069374796573 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106937479667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492408 + ... + 675529.

It is an arithmetic number, because the mean of its divisors is an integer number (7241215600).

Almost surely, 2106937479657 is an apocalyptic number.

It is an amenable number.

106937479657 is a deficient number, since it is larger than the sum of its proper divisors (8921969943).

106937479657 is a wasteful number, since it uses less digits than its factorization.

106937479657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168096.

The product of its (nonzero) digits is 60011280, while the sum is 64.

The spelling of 106937479657 in words is "one hundred six billion, nine hundred thirty-seven million, four hundred seventy-nine thousand, six hundred fifty-seven".

Divisors: 1 19 61 79 1159 1501 4819 91561 1167937 22190803 71244157 92267023 1353638983 1753073437 5628288403 106937479657