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22453696512 = 2113213831129
BaseRepresentation
bin10100111010010110…
…000011100000000000
32010221211120222002100
4110322112003200000
5331441121242022
614152020350400
71423265162022
oct247226034000
963854528070
1022453696512
119582587585
124427845400
13216ab44370
141130122012
158b639c1ac
hex53a583800

22453696512 has 288 divisors, whose sum is σ = 70742926800. Its totient is φ = 6819545088.

The previous prime is 22453696501. The next prime is 22453696561. The reversal of 22453696512 is 21569635422.

22453696512 is a `hidden beast` number, since 2 + 2 + 45 + 3 + 6 + 96 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×224536965122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19887564 + ... + 19888692.

Almost surely, 222453696512 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 22453696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35371463400).

22453696512 is an abundant number, since it is smaller than the sum of its proper divisors (48289230288).

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

22453696512 is a wasteful number, since it uses less digits than its factorization.

22453696512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1230 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 22453696512 in words is "twenty-two billion, four hundred fifty-three million, six hundred ninety-six thousand, five hundred twelve".