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21381458176 = 28132192372
BaseRepresentation
bin10011111010011011…
…110010100100000000
32001012002222121121101
4103322123302210000
5322242123130201
613453354504144
71354565252521
oct237233624400
961162877541
1021381458176
119082303aa1
124188735054
132029963900
14106b96c848
1585219bd01
hex4fa6f2900

21381458176 has 243 divisors, whose sum is σ = 50129233371. Its totient is φ = 9096302592.

The previous prime is 21381458141. The next prime is 21381458201. The reversal of 21381458176 is 67185418312.

The square root of 21381458176 is 146224.

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

It can be written as a sum of positive squares in 4 ways, for example, as 88811776 + 21292646400 = 9424^2 + 145920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 577877230 + ... + 577877266.

Almost surely, 221381458176 is an apocalyptic number.

21381458176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21381458176 is the 146224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21381458176

21381458176 is an abundant number, since it is smaller than the sum of its proper divisors (28747775195).

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

21381458176 is an equidigital number, since it uses as much as digits as its factorization.

21381458176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 71 counting only the distinct ones).

The product of its digits is 322560, while the sum is 46.

The spelling of 21381458176 in words is "twenty-one billion, three hundred eighty-one million, four hundred fifty-eight thousand, one hundred seventy-six".