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11963165856 = 2533119932017
BaseRepresentation
bin10110010010000111…
…10110110010100000
31010212201210210101220
423021003312302200
5144000032301411
65255032055040
7602313142365
oct131103666240
933781723356
1011963165856
115089993634
12239a534480
131188638c85
14816b9046c
154a03e6b06
hex2c90f6ca0

11963165856 has 96 divisors (see below), whose sum is σ = 32448665088. Its totient is φ = 3855237120.

The previous prime is 11963165849. The next prime is 11963165867. The reversal of 11963165856 is 65856136911.

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

It is a junction number, because it is equal to n+sod(n) for n = 11963165799 and 11963165808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5930160 + ... + 5932176.

It is an arithmetic number, because the mean of its divisors is an integer number (338006928).

Almost surely, 211963165856 is an apocalyptic number.

11963165856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11963165856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224332544).

11963165856 is an abundant number, since it is smaller than the sum of its proper divisors (20485499232).

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

11963165856 is a wasteful number, since it uses less digits than its factorization.

11963165856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4046 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The spelling of 11963165856 in words is "eleven billion, nine hundred sixty-three million, one hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1993 2017 2976 3986 4034 5979 6051 7972 8068 11958 12102 15944 16136 23916 24204 31888 32272 47832 48408 61783 62527 63776 64544 95664 96816 123566 125054 185349 187581 191328 193632 247132 250108 370698 375162 494264 500216 741396 750324 988528 1000432 1482792 1500648 1977056 2000864 2965584 3001296 4019881 5931168 6002592 8039762 12059643 16079524 24119286 32159048 48238572 64318096 96477144 124616311 128636192 192954288 249232622 373848933 385908576 498465244 747697866 996930488 1495395732 1993860976 2990791464 3987721952 5981582928 11963165856