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21684556055682 = 23313237419153269
BaseRepresentation
bin1001110111000110101000…
…10000101100010010000010
32211210000121222212200002000
410323203110100230102002
510320234432322240212
6114041425244404430
74365441341156502
oct473432420542202
984700558780060
1021684556055682
116a0040663a683
122522741b46716
13c13aca213c00
1454d776821a02
152790e98eb1dc
hex13b8d442c482

21684556055682 has 192 divisors, whose sum is σ = 53718314832000. Its totient is φ = 6476306234112.

The previous prime is 21684556055597. The next prime is 21684556055689. The reversal of 21684556055682 is 28655065548612.

21684556055682 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 4 + 5 + 5 + 60 + 5 + 568 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (21684556055689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141403744 + ... + 141557012.

It is an arithmetic number, because the mean of its divisors is an integer number (279782889750).

Almost surely, 221684556055682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21684556055682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26859157416000).

21684556055682 is an abundant number, since it is smaller than the sum of its proper divisors (32033758776318).

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

21684556055682 is a wasteful number, since it uses less digits than its factorization.

21684556055682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153762 (or 153743 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 21684556055682 in words is "twenty-one trillion, six hundred eighty-four billion, five hundred fifty-six million, fifty-five thousand, six hundred eighty-two".