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21862916096 = 21371741547
BaseRepresentation
bin10100010111001000…
…011010000000000000
32002102122221012201012
4110113020122000000
5324233401303341
614013234100052
71402532502110
oct242710320000
962378835635
1021862916096
1192aa0564aa
1242a1a1a628
1320a5626058
1410b5899040
1587e5a10eb
hex51721a000

21862916096 has 224 divisors, whose sum is σ = 54298242432. Its totient is φ = 8587837440.

The previous prime is 21862916093. The next prime is 21862916107. The reversal of 21862916096 is 69061926812.

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

It is not an unprimeable number, because it can be changed into a prime (21862916093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39968495 + ... + 39969041.

It is an arithmetic number, because the mean of its divisors is an integer number (242402868).

Almost surely, 221862916096 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 21862916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27149121216).

21862916096 is an abundant number, since it is smaller than the sum of its proper divisors (32435326336).

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

21862916096 is an equidigital number, since it uses as much as digits as its factorization.

21862916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 21862916096 in words is "twenty-one billion, eight hundred sixty-two million, nine hundred sixteen thousand, ninety-six".