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106431426164 = 22711333638251
BaseRepresentation
bin110001100011111001…
…1101010111001110100
3101011201101111122100202
41203013303222321310
53220432421114124
6120521030500032
710455320124050
oct1430763527164
9334641448322
10106431426164
1141156846838
1218763804618
13a0620a0c5b
145219294c60
152b7db925ae
hex18c7ceae74

106431426164 has 24 divisors (see below), whose sum is σ = 214746600768. Its totient is φ = 45209808000.

The previous prime is 106431426083. The next prime is 106431426181. The reversal of 106431426164 is 461624134601.

It is a super-2 number, since 2×1064314261642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16815962 + ... + 16822289.

It is an arithmetic number, because the mean of its divisors is an integer number (8947775032).

Almost surely, 2106431426164 is an apocalyptic number.

106431426164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106431426164 is an abundant number, since it is smaller than the sum of its proper divisors (108315174604).

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

106431426164 is a wasteful number, since it uses less digits than its factorization.

106431426164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33638375 (or 33638373 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 106431426164 in words is "one hundred six billion, four hundred thirty-one million, four hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 113 226 452 791 1582 3164 33638251 67276502 134553004 235467757 470935514 941871028 3801122363 7602244726 15204489452 26607856541 53215713082 106431426164