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100195639704 = 23325333717789
BaseRepresentation
bin101110101010000100…
…0000010000110011000
3100120121210202212110200
41131110020002012120
53120200040432304
6114010152142200
710144640612436
oct1352410020630
9316553685420
10100195639704
1139546910106
1217503397960
1395aa1cb194
144bc7029d56
1529164d1e39
hex1754202198

100195639704 has 96 divisors (see below), whose sum is σ = 276600776400. Its totient is φ = 32754458880.

The previous prime is 100195639673. The next prime is 100195639717. The reversal of 100195639704 is 407936591001.

100195639704 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 5 + 639 + 7 + 0 + 4 = 666.

100195639704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100195639704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12859842 + ... + 12867630.

Almost surely, 2100195639704 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 100195639704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138300388200).

100195639704 is an abundant number, since it is smaller than the sum of its proper divisors (176405136696).

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

100195639704 is a wasteful number, since it uses less digits than its factorization.

100195639704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225 (or 11218 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 100195639704 in words is "one hundred billion, one hundred ninety-five million, six hundred thirty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3371 3816 6742 7789 10113 13484 15578 20226 23367 26968 30339 31156 40452 46734 60678 62312 70101 80904 93468 121356 140202 178663 186936 242712 280404 357326 412817 535989 560808 714652 825634 1071978 1238451 1429304 1607967 1651268 2143956 2476902 3215934 3302536 3715353 4287912 4953804 6431868 7430706 9907608 12863736 14861412 26256719 29722824 52513438 78770157 105026876 157540314 210053752 236310471 315080628 472620942 630161256 945241884 1391606107 1890483768 2783212214 4174818321 5566424428 8349636642 11132848856 12524454963 16699273284 25048909926 33398546568 50097819852 100195639704