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54256051200 = 21035213311753
BaseRepresentation
bin110010100001111010…
…011010010000000000
312012001012022222021210
4302201322122100000
51342104022114300
640531435250120
73630341553201
oct624172322000
9165035288253
1054256051200
112101214333a
12a6222a9940
135168742210
1428a9a975a8
151628347050
hexca1e9a400

54256051200 has 528 divisors, whose sum is σ = 199456011776. Its totient is φ = 12917145600.

The previous prime is 54256051183. The next prime is 54256051229. The reversal of 54256051200 is 215065245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30949524 + ... + 30951276.

Almost surely, 254256051200 is an apocalyptic number.

54256051200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54256051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99728005888).

54256051200 is an abundant number, since it is smaller than the sum of its proper divisors (145199960576).

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

54256051200 is a wasteful number, since it uses less digits than its factorization.

54256051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 54256051200 in words is "fifty-four billion, two hundred fifty-six million, fifty-one thousand, two hundred".