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106266561560 = 23515716921427
BaseRepresentation
bin110001011110111111…
…0110000110000011000
3101011021220021122122022
41202331332300300120
53220113214432220
6120452421114012
710451245604165
oct1427576606030
9334256248568
10106266561560
11410817815a5
1218718558908
13a036b99233
14520141b06c
152b6e478925
hex18bdfb0c18

106266561560 has 32 divisors (see below), whose sum is σ = 240622706160. Its totient is φ = 42235879296.

The previous prime is 106266561551. The next prime is 106266561563. The reversal of 106266561560 is 65165662601.

It is a happy number.

It is a super-2 number, since 2×1062665615602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106266561563) by changing a digit.

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, 8454434 + ... + 8466993.

Almost surely, 2106266561560 is an apocalyptic number.

106266561560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106266561560 is an abundant number, since it is smaller than the sum of its proper divisors (134356144600).

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

106266561560 is a wasteful number, since it uses less digits than its factorization.

106266561560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16921595 (or 16921591 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 106266561560 in words is "one hundred six billion, two hundred sixty-six million, five hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 16921427 33842854 67685708 84607135 135371416 169214270 338428540 676857080 2656664039 5313328078 10626656156 13283320195 21253312312 26566640390 53133280780 106266561560