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54782023222080 = 2633572111729107223
BaseRepresentation
bin11000111010010111011110…
…00010001100001101000000
321011222002222101111202202000
430131023233002030031000
524140022040421101310
6312302303011024000
714352604414223100
oct1435135702141500
9234862871452660
1054782023222080
1116500a1aa430a0
12618915889b000
132474bcc00867b
14d7566d5a9200
15650015ade4c0
hex31d2ef08c340

54782023222080 has 5376 divisors, whose sum is σ = 272355781017600. Its totient is φ = 10201607700480.

The previous prime is 54782023222061. The next prime is 54782023222127. The reversal of 54782023222080 is 8022232028745.

54782023222080 is a `hidden beast` number, since 5 + 47 + 8 + 202 + 322 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 245659296849 + ... + 245659297071.

It is an arithmetic number, because the mean of its divisors is an integer number (50661417600).

Almost surely, 254782023222080 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 54782023222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136177890508800).

54782023222080 is an abundant number, since it is smaller than the sum of its proper divisors (217573757795520).

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

54782023222080 is a wasteful number, since it uses less digits than its factorization.

54782023222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 54782023222080 in words is "fifty-four trillion, seven hundred eighty-two billion, twenty-three million, two hundred twenty-two thousand, eighty".