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106418590684 = 22731122602063
BaseRepresentation
bin110001100011100001…
…0101101001111011100
3101011200111100112101121
41203013002231033130
53220421124400214
6120515451420324
710455103044610
oct1430702551734
9334614315347
10106418590684
114114a57a2aa
121875b4546a4
13a05c5288b3
1452176b3340
152b7c9a9424
hex18c70ad3dc

106418590684 has 24 divisors (see below), whose sum is σ = 219702898688. Its totient is φ = 44136742320.

The previous prime is 106418590673. The next prime is 106418590753. The reversal of 106418590684 is 486095814601.

It is a super-2 number, since 2×1064185906842 (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 7 ways as a sum of consecutive naturals, for example, 61300164 + ... + 61301899.

Almost surely, 2106418590684 is an apocalyptic number.

106418590684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106418590684 is an abundant number, since it is smaller than the sum of its proper divisors (113284308004).

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

106418590684 is a wasteful number, since it uses less digits than its factorization.

106418590684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122602105 (or 122602103 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 106418590684 in words is "one hundred six billion, four hundred eighteen million, five hundred ninety thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 122602063 245204126 490408252 858214441 1716428882 3432857764 3800663953 7601327906 15202655812 26604647671 53209295342 106418590684