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21669902714880 = 2113357195311119
BaseRepresentation
bin1001110110101011010101…
…10110101000100000000000
32211201121210210000211102000
410323111222312220200000
510320014430043334010
6114031003232424000
74364412250631340
oct473255266504000
984647723024360
1021669902714880
1169a5177170872
12251b9326a8000
13c12603451554
1454cb86678d20
15278a3d2607c0
hex13b56ada8800

21669902714880 has 1536 divisors, whose sum is σ = 94424279040000. Its totient is φ = 4603479588864.

The previous prime is 21669902714813. The next prime is 21669902714893. The reversal of 21669902714880 is 8841720996612.

21669902714880 is a `hidden beast` number, since 2 + 1 + 6 + 69 + 90 + 2 + 7 + 1 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1948901961 + ... + 1948913079.

It is an arithmetic number, because the mean of its divisors is an integer number (61474140000).

Almost surely, 221669902714880 is an apocalyptic number.

21669902714880 is a gapful number since it is divisible by the number (20) 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 21669902714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47212139520000).

21669902714880 is an abundant number, since it is smaller than the sum of its proper divisors (72754376325120).

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

21669902714880 is a wasteful number, since it uses less digits than its factorization.

21669902714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234 (or 11208 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 21669902714880 in words is "twenty-one trillion, six hundred sixty-nine billion, nine hundred two million, seven hundred fourteen thousand, eight hundred eighty".