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54122196543360 = 2735113461740423
BaseRepresentation
bin11000100111001010011100…
…10011001010011110000000
321002122000211221012112121020
430103211032103022132000
524043214224303341420
6311035221023225440
714254125325051161
oct1423451623123600
9232560757175536
1054122196543360
1116277104a93370
1260a12b2148280
1324279167c6c6a
14d517578ab768
1563cc98858340
hex31394e4ca780

54122196543360 has 256 divisors, whose sum is σ = 188252268894720. Its totient is φ = 13116723814400.

The previous prime is 54122196543329. The next prime is 54122196543403. The reversal of 54122196543360 is 6334569122145.

It is a happy number.

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, 72726109 + ... + 73466531.

It is an arithmetic number, because the mean of its divisors is an integer number (735360425370).

Almost surely, 254122196543360 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 54122196543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94126134447360).

54122196543360 is an abundant number, since it is smaller than the sum of its proper divisors (134130072351360).

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

54122196543360 is a wasteful number, since it uses less digits than its factorization.

54122196543360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743917 (or 743905 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 54122196543360 in words is "fifty-four trillion, one hundred twenty-two billion, one hundred ninety-six million, five hundred forty-three thousand, three hundred sixty".