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22006801486656 = 2633719199481181
BaseRepresentation
bin1010000000011110110111…
…00101011101001101000000
32212220211101211111200022000
411000033123211131031000
510341024412140033111
6114445441322344000
74430640025143060
oct500173345351500
985824354450260
1022006801486656
1170150397a5478
12257509535b000
13c3830399760c
145611c61513a0
152826aa018c56
hex1403db95d340

22006801486656 has 448 divisors, whose sum is σ = 78220945920000. Its totient is φ = 5926782597120.

The previous prime is 22006801486639. The next prime is 22006801486667. The reversal of 22006801486656 is 65668410860022.

22006801486656 is a `hidden beast` number, since 2 + 20 + 0 + 6 + 80 + 1 + 486 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45494386 + ... + 45975566.

Almost surely, 222006801486656 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 22006801486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39110472960000).

22006801486656 is an abundant number, since it is smaller than the sum of its proper divisors (56214144433344).

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

22006801486656 is a wasteful number, since it uses less digits than its factorization.

22006801486656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481427 (or 481411 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 22006801486656 in words is "twenty-two trillion, six billion, eight hundred one million, four hundred eighty-six thousand, six hundred fifty-six".