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21936316416 = 21337294397
BaseRepresentation
bin10100011011100000…
…011010000000000000
32002121210001100000120
4110123200122000000
5324411144111131
614024415220240
71404413420160
oct243340320000
962553040016
1021936316416
11933752a223
124302517680
1320b78b54b1
1410c15245a0
15885c4e496
hex51b81a000

21936316416 has 224 divisors, whose sum is σ = 69170336640. Its totient is φ = 6050021376.

The previous prime is 21936316393. The next prime is 21936316453. The reversal of 21936316416 is 61461363912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4986730 + ... + 4991126.

Almost surely, 221936316416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21936316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34585168320).

21936316416 is an abundant number, since it is smaller than the sum of its proper divisors (47234020224).

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

21936316416 is an equidigital number, since it uses as much as digits as its factorization.

21936316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4438 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The spelling of 21936316416 in words is "twenty-one billion, nine hundred thirty-six million, three hundred sixteen thousand, four hundred sixteen".