Search a number
-
+
106786431063 = 32131948037081
BaseRepresentation
bin110001101110011110…
…1111010000001010111
3101012122010111202112100
41203130331322001113
53222144311243223
6121020151453143
710500160454544
oct1433475720127
9335563452470
10106786431063
114131917a214
12188426871b3
13a0ba7ba220
1452504a5bcb
152b9ee19043
hex18dcf7a057

106786431063 has 24 divisors (see below), whose sum is σ = 174854978480. Its totient is φ = 62256055680.

The previous prime is 106786431053. The next prime is 106786431113. The reversal of 106786431063 is 360134687601.

It is not a de Polignac number, because 106786431063 - 224 = 106769653847 is a prime.

It is a super-2 number, since 2×1067864310632 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106786431023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24016318 + ... + 24020763.

Almost surely, 2106786431063 is an apocalyptic number.

106786431063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106786431063 is a deficient number, since it is larger than the sum of its proper divisors (68068547417).

106786431063 is a wasteful number, since it uses less digits than its factorization.

106786431063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48037119 (or 48037116 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106786431063 in words is "one hundred six billion, seven hundred eighty-six million, four hundred thirty-one thousand, sixty-three".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 48037081 144111243 432333729 624482053 912704539 1873446159 2738113617 5620338477 8214340851 11865159007 35595477021 106786431063