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21327860736 = 210337313173
BaseRepresentation
bin10011110111001111…
…010101010000000000
32001001101010120202000
4103313033111100000
5322134413020421
613444202024000
71353344553000
oct236717252000
961041116660
1021327860736
119055026496
1241727a8000
13201b818c50
1410647ba000
1584c611226
hex4f73d5400

21327860736 has 704 divisors, whose sum is σ = 79783872000. Its totient is φ = 5592416256.

The previous prime is 21327860711. The next prime is 21327860777. The reversal of 21327860736 is 63706872312.

21327860736 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 7 + 8 + 607 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21327860691 and 21327860700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123282346 + ... + 123282518.

Almost surely, 221327860736 is an apocalyptic number.

21327860736 is a gapful number since it is divisible by the number (26) 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 21327860736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39891936000).

21327860736 is an abundant number, since it is smaller than the sum of its proper divisors (58456011264).

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

21327860736 is a wasteful number, since it uses less digits than its factorization.

21327860736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 21327860736 in words is "twenty-one billion, three hundred twenty-seven million, eight hundred sixty thousand, seven hundred thirty-six".