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21195991872 = 263511235387
BaseRepresentation
bin10011101111011000…
…010010101101000000
32000201011222221200000
4103233120102231000
5321402133214442
613423131400000
71350153646446
oct235730225500
960634887600
1021195991872
118a97648460
1241365b3000
131cca3c7933
141051090b96
15840c63d4c
hex4ef612b40

21195991872 has 336 divisors, whose sum is σ = 71734021632. Its totient is φ = 6142625280.

The previous prime is 21195991793. The next prime is 21195991889. The reversal of 21195991872 is 27819959112.

It is a happy number.

21195991872 is a `hidden beast` number, since 21 + 19 + 599 + 18 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3931963 + ... + 3937349.

It is an arithmetic number, because the mean of its divisors is an integer number (213494112).

Almost surely, 221195991872 is an apocalyptic number.

21195991872 is a gapful number since it is divisible by the number (22) 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 21195991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35867010816).

21195991872 is an abundant number, since it is smaller than the sum of its proper divisors (50538029760).

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

21195991872 is a wasteful number, since it uses less digits than its factorization.

21195991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5426 counting only the distinct ones).

The product of its digits is 816480, while the sum is 54.

The spelling of 21195991872 in words is "twenty-one billion, one hundred ninety-five million, nine hundred ninety-one thousand, eight hundred seventy-two".