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54257960484 = 2235721387631
BaseRepresentation
bin110010100010000001…
…101100011000100100
312012001022220222100000
4302202001230120210
51342110014213414
640531544221300
73630364024500
oct624201543044
9165038828300
1054257960484
1121013227862
12a622a6a830
135168c60280
1428aa033300
1516285c2b09
hexca206c624

54257960484 has 216 divisors, whose sum is σ = 178182496128. Its totient is φ = 14309628480.

The previous prime is 54257960483. The next prime is 54257960507. The reversal of 54257960484 is 48406975245.

54257960484 is a `hidden beast` number, since 5 + 4 + 2 + 579 + 60 + 4 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 54257960484.

It is not an unprimeable number, because it can be changed into a prime (54257960483) 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 71 ways as a sum of consecutive naturals, for example, 575349 + ... + 662979.

Almost surely, 254257960484 is an apocalyptic number.

54257960484 is a gapful number since it is divisible by the number (54) 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 54257960484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89091248064).

54257960484 is an abundant number, since it is smaller than the sum of its proper divisors (123924535644).

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

54257960484 is a wasteful number, since it uses less digits than its factorization.

54257960484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87677 (or 87656 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 54257960484 in words is "fifty-four billion, two hundred fifty-seven million, nine hundred sixty thousand, four hundred eighty-four".