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21133260892926 = 232713113797143257
BaseRepresentation
bin1001100111000011110001…
…00000100010101011111110
32202211022122021202200220200
410303201320200202223332
510232221404242033201
6112540252552024330
74310553622461510
oct463417040425376
982738567680820
1021133260892926
116808624916196
1224539263920a6
13ba3b1cbc3130
14530bd8c89bb0
15269ad088b386
hex133878822afe

21133260892926 has 192 divisors, whose sum is σ = 56925814877568. Its totient is φ = 5517313449984.

The previous prime is 21133260892907. The next prime is 21133260892927. The reversal of 21133260892926 is 62929806233112.

21133260892926 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 2 + 608 + 9 + 2 + 9 + 26 = 666.

It is a super-2 number, since 2×211332608929262 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133260892927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147448290 + ... + 147591546.

It is an arithmetic number, because the mean of its divisors is an integer number (296488619154).

Almost surely, 221133260892926 is an apocalyptic number.

21133260892926 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133260892926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28462907438784).

21133260892926 is an abundant number, since it is smaller than the sum of its proper divisors (35792553984642).

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

21133260892926 is a wasteful number, since it uses less digits than its factorization.

21133260892926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144195 (or 144192 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 21133260892926 in words is "twenty-one trillion, one hundred thirty-three billion, two hundred sixty million, eight hundred ninety-two thousand, nine hundred twenty-six".