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106557814812 = 22358907150743
BaseRepresentation
bin110001100111101010…
…1110011100000011100
3101012001012022211222210
41203033111303200130
53221212300033222
6120541343440420
710461413324061
oct1431725634034
9335035284883
10106557814812
1141211121469
1218799bb6110
13a082323a37
14522bd94c68
152b89d0ad0c
hex18cf57381c

106557814812 has 24 divisors (see below), whose sum is σ = 248640771456. Its totient is φ = 35518433008.

The previous prime is 106557814807. The next prime is 106557814859. The reversal of 106557814812 is 218418755601.

It is a super-2 number, since 2×1065578148122 (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, 631513 + ... + 782255.

It is an arithmetic number, because the mean of its divisors is an integer number (10360032144).

Almost surely, 2106557814812 is an apocalyptic number.

106557814812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106557814812 is an abundant number, since it is smaller than the sum of its proper divisors (142082956644).

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

106557814812 is a wasteful number, since it uses less digits than its factorization.

106557814812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209657 (or 209655 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 106557814812 in words is "one hundred six billion, five hundred fifty-seven million, eight hundred fourteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 58907 117814 150743 176721 235628 301486 353442 452229 602972 706884 904458 1808916 8879817901 17759635802 26639453703 35519271604 53278907406 106557814812