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21869090496 = 263211171911063
BaseRepresentation
bin10100010111011111…
…111101011011000000
32002110002112220101200
4110113133331123000
5324241441343441
614014014301200
71402636126221
oct242737753300
962402486350
1021869090496
119302593410
1242a3ab7800
1320a69a8546
1410b6625248
1587edc07b6
hex5177fd6c0

21869090496 has 336 divisors, whose sum is σ = 72852369408. Its totient is φ = 6198681600.

The previous prime is 21869090471. The next prime is 21869090519. The reversal of 21869090496 is 69409096812.

21869090496 is a `hidden beast` number, since 2 + 1 + 8 + 69 + 0 + 90 + 496 = 666.

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, 20572461 + ... + 20573523.

It is an arithmetic number, because the mean of its divisors is an integer number (216822528).

Almost surely, 221869090496 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 21869090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426184704).

21869090496 is an abundant number, since it is smaller than the sum of its proper divisors (50983278912).

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

21869090496 is a wasteful number, since it uses less digits than its factorization.

21869090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 21869090496 in words is "twenty-one billion, eight hundred sixty-nine million, ninety thousand, four hundred ninety-six".