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21966199488 = 26341071992
BaseRepresentation
bin10100011101010010…
…011001101011000000
32002200212021112220000
4110131102121223000
5324441321340423
614031403520000
71405225420632
oct243522315300
962625245800
1021966199488
11935238a882
124310529000
1320c0b4919c
1410c54a2a52
158886a3843
hex51d499ac0

21966199488 has 210 divisors, whose sum is σ = 66055172436. Its totient is φ = 7217185536.

The previous prime is 21966199471. The next prime is 21966199499. The reversal of 21966199488 is 88499166912.

21966199488 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 61 + 99 + 488 = 666.

It is a super-2 number, since 2×219661994882 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 110382813 + ... + 110383011.

Almost surely, 221966199488 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 21966199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33027586218).

21966199488 is an abundant number, since it is smaller than the sum of its proper divisors (44088972948).

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

21966199488 is an equidigital number, since it uses as much as digits as its factorization.

21966199488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 311 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 21966199488 in words is "twenty-one billion, nine hundred sixty-six million, one hundred ninety-nine thousand, four hundred eighty-eight".