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21863762496 = 26326121012
BaseRepresentation
bin10100010111001011…
…101000101001000000
32002102201112012202100
4110113023220221000
5324234110344441
614013304150400
71402542625542
oct242713505100
962381465670
1021863762496
1192aa584404
1242a2168400
1320a5861394
1410b5a39692
1587e6bbcb6
hex5172e8a40

21863762496 has 189 divisors, whose sum is σ = 64349787099. Its totient is φ = 7097472000.

The previous prime is 21863762449. The next prime is 21863762497. The reversal of 21863762496 is 69426736812.

The square root of 21863762496 is 147864.

It is a perfect power (a square), and thus also a powerful number.

21863762496 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 3 + 7 + 624 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 21856665600 = 2664^2 + 147840^2 .

It is a super-2 number, since 2×218637624962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21863762497) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216472846 + ... + 216472946.

Almost surely, 221863762496 is an apocalyptic number.

21863762496 is the 147864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21863762496

21863762496 is an abundant number, since it is smaller than the sum of its proper divisors (42486024603).

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

21863762496 is an equidigital number, since it uses as much as digits as its factorization.

21863762496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 167 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 21863762496 in words is "twenty-one billion, eight hundred sixty-three million, seven hundred sixty-two thousand, four hundred ninety-six".