Search a number
-
+
106456329815 = 51167157184007
BaseRepresentation
bin110001100100101001…
…0101010111001010111
3101011210010100212202012
41203021102222321113
53221010310023230
6120523320334435
710456041605333
oct1431122527127
9334703325665
10106456329815
1141169906270
121877001441b
13a0672b0344
14521c6d87c3
152b80e61395
hex18c94aae57

106456329815 has 32 divisors (see below), whose sum is σ = 142342700544. Its totient is φ = 75781031040.

The previous prime is 106456329781. The next prime is 106456329821. The reversal of 106456329815 is 518923654601.

It is not a de Polignac number, because 106456329815 - 28 = 106456329559 is a prime.

It is a super-2 number, since 2×1064563298152 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486542 + ... + 670548.

It is an arithmetic number, because the mean of its divisors is an integer number (4448209392).

Almost surely, 2106456329815 is an apocalyptic number.

106456329815 is a deficient number, since it is larger than the sum of its proper divisors (35886370729).

106456329815 is a wasteful number, since it uses less digits than its factorization.

106456329815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184247.

The product of its (nonzero) digits is 1555200, while the sum is 50.

The spelling of 106456329815 in words is "one hundred six billion, four hundred fifty-six million, three hundred twenty-nine thousand, eight hundred fifteen".

Divisors: 1 5 11 55 67 157 335 737 785 1727 3685 8635 10519 52595 115709 184007 578545 920035 2024077 10120385 12328469 28889099 61642345 135613159 144445495 317780089 678065795 1588900445 1935569633 9677848165 21291265963 106456329815