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1920108099168 = 25337317478191
BaseRepresentation
bin11011111100001111010…
…111000111011001100000
320210120010122010210011000
4123330033113013121200
5222424340133133133
64030030244152000
7255503032360260
oct33741727073140
96716118123130
101920108099168
11680349a68266
12270168398600
1310c0b094a67c
1468d102137a0
1534e2e263413
hex1bf0f5c7660

1920108099168 has 96 divisors (see below), whose sum is σ = 6400360350720. Its totient is φ = 548602312320.

The previous prime is 1920108099163. The next prime is 1920108099191. The reversal of 1920108099168 is 8619908010291.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19201080991682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920108099163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158733048 + ... + 158745143.

It is an arithmetic number, because the mean of its divisors is an integer number (66670420320).

Almost surely, 21920108099168 is an apocalyptic number.

1920108099168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1920108099168 is an abundant number, since it is smaller than the sum of its proper divisors (4480252251552).

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

1920108099168 is a wasteful number, since it uses less digits than its factorization.

1920108099168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317478217 (or 317478203 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 1920108099168 in words is "one trillion, nine hundred twenty billion, one hundred eight million, ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 317478191 634956382 952434573 1269912764 1904869146 2222347337 2539825528 2857303719 3809738292 4444694674 5079651056 5714607438 6667042011 7619476584 8571911157 8889389348 10159302112 11429214876 13334084022 15238953168 17143822314 17778778696 20001126033 22858429752 26668168044 30477906336 34287644628 35557557392 40002252066 45716859504 53336336088 60003378099 68575289256 71115114784 80004504132 91433719008 106672672176 120006756198 137150578512 160009008264 213345344352 240013512396 274301157024 320018016528 480027024792 640036033056 960054049584 1920108099168