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22829286745056 = 25311523195121187
BaseRepresentation
bin1010011000011010110111…
…00001101110001111100000
32222211110101020121220010210
411030031123201232033200
510443013334401320211
6120315343552054120
74544235002402241
oct514153341561740
988743336556123
1022829286745056
117301934233650
122688575b34340
13c97a3c1891cc
1458cd2c892cc8
15298c9733e9a6
hex14c35b86e3e0

22829286745056 has 192 divisors, whose sum is σ = 65536440754176. Its totient is φ = 6900873408000.

The previous prime is 22829286745043. The next prime is 22829286745093. The reversal of 22829286745056 is 65054768292822.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077503295 + ... + 1077524481.

It is an arithmetic number, because the mean of its divisors is an integer number (341335628928).

Almost surely, 222829286745056 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 22829286745056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768220377088).

22829286745056 is an abundant number, since it is smaller than the sum of its proper divisors (42707154009120).

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

22829286745056 is a wasteful number, since it uses less digits than its factorization.

22829286745056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23685 (or 23677 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 22829286745056 in words is "twenty-two trillion, eight hundred twenty-nine billion, two hundred eighty-six million, seven hundred forty-five thousand, fifty-six".