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21095832192 = 273269331617
BaseRepresentation
bin10011101001011010…
…001101101010000000
32000110012112022102020
4103221122031222000
5321201013112232
613405152521440
71344526420641
oct235132155200
960405468366
1021095832192
118a46057a66
124108b50280
131cb2729556
141041a5b6c8
1583707be2c
hex4e968da80

21095832192 has 128 divisors (see below), whose sum is σ = 56505470400. Its totient is φ = 6973317120.

The previous prime is 21095832161. The next prime is 21095832209. The reversal of 21095832192 is 29123859012.

It is a tau number, because it is divible by the number of its divisors (128).

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, 34190668 + ... + 34191284.

Almost surely, 221095832192 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 21095832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28252735200).

21095832192 is an abundant number, since it is smaller than the sum of its proper divisors (35409638208).

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

21095832192 is a wasteful number, since it uses less digits than its factorization.

21095832192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 21095832192 in words is "twenty-one billion, ninety-five million, eight hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 269 331 384 538 617 662 807 993 1076 1234 1324 1614 1851 1986 2152 2468 2648 3228 3702 3972 4304 4936 5296 6456 7404 7944 8608 9872 10592 12912 14808 15888 17216 19744 21184 25824 29616 31776 34432 39488 42368 51648 59232 63552 78976 89039 103296 118464 127104 165973 178078 204227 236928 267117 331946 356156 408454 497919 534234 612681 663892 712312 816908 995838 1068468 1225362 1327784 1424624 1633816 1991676 2136936 2450724 2655568 2849248 3267632 3983352 4273872 4901448 5311136 5698496 6535264 7966704 8547744 9802896 10622272 11396992 13070528 15933408 17095488 19605792 21244544 26141056 31866816 34190976 39211584 54937063 63733632 78423168 109874126 164811189 219748252 329622378 439496504 659244756 878993008 1318489512 1757986016 2636979024 3515972032 5273958048 7031944064 10547916096 21095832192