Search a number
-
+
106016813960 = 2352650420349
BaseRepresentation
bin110001010111100011…
…0000011001110001000
3101010122111100011100012
41202233012003032020
53214110301021320
6120411540131052
710442124023111
oct1425706031610
9333574304305
10106016813960
1140a63800522
1218668996a88
139cc72146a5
1451ba1a9208
152b575944c5
hex18af183388

106016813960 has 16 divisors (see below), whose sum is σ = 238537831500. Its totient is φ = 42406725568.

The previous prime is 106016813921. The next prime is 106016813993. The reversal of 106016813960 is 69318610601.

It can be written as a sum of positive squares in 2 ways, for example, as 95605876804 + 10410937156 = 309202^2 + 102034^2 .

It is a super-2 number, since 2×1060168139602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325210135 + ... + 1325210214.

Almost surely, 2106016813960 is an apocalyptic number.

106016813960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106016813960 is an abundant number, since it is smaller than the sum of its proper divisors (132521017540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106016813960 is a wasteful number, since it uses less digits than its factorization.

106016813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650420360 (or 2650420356 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 106016813960 in words is "one hundred six billion, sixteen million, eight hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2650420349 5300840698 10601681396 13252101745 21203362792 26504203490 53008406980 106016813960