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20195856096 = 25313414367137
BaseRepresentation
bin10010110011110001…
…000100111011100000
31221010111001210022020
4102303301010323200
5312330114343341
613140003141440
71313320641633
oct226361047340
957114053266
1020195856096
118624041669
123ab7674880
131b9b140a10
14d98309c1a
157d3057566
hex4b3c44ee0

20195856096 has 384 divisors, whose sum is σ = 61181277696. Its totient is φ = 5790597120.

The previous prime is 20195856017. The next prime is 20195856151. The reversal of 20195856096 is 69065859102.

It is a super-2 number, since 2×201958560962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147414940 + ... + 147415076.

It is an arithmetic number, because the mean of its divisors is an integer number (159326244).

Almost surely, 220195856096 is an apocalyptic number.

20195856096 is a gapful number since it is divisible by the number (26) 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 20195856096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30590638848).

20195856096 is an abundant number, since it is smaller than the sum of its proper divisors (40985421600).

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

20195856096 is a wasteful number, since it uses less digits than its factorization.

20195856096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

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

The spelling of 20195856096 in words is "twenty billion, one hundred ninety-five million, eight hundred fifty-six thousand, ninety-six".