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54227422080 = 2733513231599
BaseRepresentation
bin110010100000001101…
…001100101110000000
312011222012110110112000
4302200031030232000
51342024210001310
640524533504000
73626543324316
oct624015145600
9164865413460
1054227422080
1120aa7a69907
12a6147a2000
13516282a200
1428a5d640b6
151625a8e4c0
hexca034cb80

54227422080 has 768 divisors, whose sum is σ = 215032320000. Its totient is φ = 12896133120.

The previous prime is 54227422043. The next prime is 54227422087. The reversal of 54227422080 is 8022472245.

54227422080 is a `hidden beast` number, since 5 + 4 + 227 + 422 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×542274220802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54227422087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90529621 + ... + 90530219.

It is an arithmetic number, because the mean of its divisors is an integer number (279990000).

Almost surely, 254227422080 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 54227422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107516160000).

54227422080 is an abundant number, since it is smaller than the sum of its proper divisors (160804897920).

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

54227422080 is a wasteful number, since it uses less digits than its factorization.

54227422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 54227422080 in words is "fifty-four billion, two hundred twenty-seven million, four hundred twenty-two thousand, eighty".