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22728359534112 = 25331715167715137
BaseRepresentation
bin1010010101011110110111…
…10010111101111000100000
32222110210212110021100121000
411022233123302331320200
510434340140020042422
6120201133023432000
74534032636303651
oct512573362757040
988423773240530
1022728359534112
117273052480211
122670aa9755600
13c8b37654674b
145880b6631528
1529633ba00cac
hex14abdbcbde20

22728359534112 has 384 divisors, whose sum is σ = 70764399982080. Its totient is φ = 7072314163200.

The previous prime is 22728359534081. The next prime is 22728359534123. The reversal of 22728359534112 is 21143595382722.

22728359534112 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 8 + 3 + 595 + 3 + 41 + 1 + 2 = 666.

It is a super-2 number, since 2×227283595341122 (a number of 28 digits) contains 22 as substring.

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

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, 1501502608 + ... + 1501517744.

It is an arithmetic number, because the mean of its divisors is an integer number (184282291620).

Almost surely, 222728359534112 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 22728359534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35382199991040).

22728359534112 is an abundant number, since it is smaller than the sum of its proper divisors (48036040447968).

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

22728359534112 is a wasteful number, since it uses less digits than its factorization.

22728359534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16001 (or 15987 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 22728359534112 in words is "twenty-two trillion, seven hundred twenty-eight billion, three hundred fifty-nine million, five hundred thirty-four thousand, one hundred twelve".