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54476274720 = 2535753509601
BaseRepresentation
bin110010101111000010…
…011111110000100000
312012121112201111011110
4302233002133300200
51343031411242340
641005343343320
73635654460240
oct625702376040
9165545644143
1054476274720
112111548954a
12a683bb1b40
1351a225a5aa
1428cb021b20
15163c848680
hexcaf09fc20

54476274720 has 384 divisors, whose sum is σ = 200540551680. Its totient is φ = 12172492800.

The previous prime is 54476274683. The next prime is 54476274737. The reversal of 54476274720 is 2747267445.

It is a super-2 number, since 2×544762747202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54476274720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90642420 + ... + 90643020.

It is an arithmetic number, because the mean of its divisors is an integer number (522241020).

Almost surely, 254476274720 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 54476274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100270275840).

54476274720 is an abundant number, since it is smaller than the sum of its proper divisors (146064276960).

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

54476274720 is a wasteful number, since it uses less digits than its factorization.

54476274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 48.

The spelling of 54476274720 in words is "fifty-four billion, four hundred seventy-six million, two hundred seventy-four thousand, seven hundred twenty".