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106692125610048 = 2631150517104929
BaseRepresentation
bin11000010000100100110010…
…001111110101000001000000
3111222202200000200022000121120
4120100210302033311001000
5102441020433124010143
61014525404051352240
731321152222235026
oct3020446217650100
9458680020260546
10106692125610048
1130aa49704a3530
12bb71794bb2680
13476c04143c124
141c4bcd81b8716
15c50491377383
hex6109323f5040

106692125610048 has 56 divisors (see below), whose sum is σ = 307952271653280. Its totient is φ = 32330947153920.

The previous prime is 106692125610043. The next prime is 106692125610061. The reversal of 106692125610048 is 840016521296601.

It is a super-2 number, since 2×1066921256100482 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106692125610043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25258550353 + ... + 25258554576.

Almost surely, 2106692125610048 is an apocalyptic number.

It is an amenable number.

106692125610048 is an abundant number, since it is smaller than the sum of its proper divisors (201260146043232).

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

106692125610048 is a wasteful number, since it uses less digits than its factorization.

106692125610048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50517104955 (or 50517104945 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 106692125610048 in words is "one hundred six trillion, six hundred ninety-two billion, one hundred twenty-five million, six hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 50517104929 101034209858 151551314787 202068419716 303102629574 404136839432 555688154219 606205259148 808273678864 1111376308438 1212410518296 1616547357728 1667064462657 2222752616876 2424821036592 3233094715456 3334128925314 4445505233752 4849642073184 6668257850628 8891010467504 9699284146368 13336515701256 17782020935008 26673031402512 35564041870016 53346062805024 106692125610048