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107099855008 = 2561433126713
BaseRepresentation
bin110001110111110100…
…1100001100010100000
3101020102222021100100121
41203233221201202200
53223320030330013
6121111225330024
710511014514146
oct1435751414240
9336388240317
10107099855008
114146a092273
121890b636914
13a13a708193
14527dd71596
152bbc6ca58d
hex18efa618a0

107099855008 has 48 divisors (see below), whose sum is σ = 214806079656. Its totient is φ = 52550000640.

The previous prime is 107099854991. The next prime is 107099855011. The reversal of 107099855008 is 800558990701.

It can be written as a sum of positive squares in 4 ways, for example, as 65439779344 + 41660075664 = 255812^2 + 204108^2 .

It is a super-2 number, since 2×1070998550082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 781860 + ... + 908572.

Almost surely, 2107099855008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107099855008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107403039828).

107099855008 is an abundant number, since it is smaller than the sum of its proper divisors (107706224648).

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

107099855008 is a wasteful number, since it uses less digits than its factorization.

107099855008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127217 (or 127209 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 52.

The spelling of 107099855008 in words is "one hundred seven billion, ninety-nine million, eight hundred fifty-five thousand, eight".

Divisors: 1 2 4 8 16 32 61 122 244 433 488 866 976 1732 1952 3464 6928 13856 26413 52826 105652 126713 211304 253426 422608 506852 845216 1013704 2027408 4054816 7729493 15458986 30917972 54866729 61835944 109733458 123671888 219466916 247343776 438933832 877867664 1755735328 3346870469 6693740938 13387481876 26774963752 53549927504 107099855008