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54489642480 = 24325721331937
BaseRepresentation
bin110010101111110101…
…011111010111110000
312012122110212122021200
4302233311133113300
51343043322024410
641010542051200
73636206214300
oct625765372760
9165573778250
1054489642480
1121121a89989
12a688579b00
1351a4c5b000
1428ccb01600
15163dad93c0
hexcafd5f5f0

54489642480 has 1440 divisors, whose sum is σ = 249299668800. Its totient is φ = 10597257216.

The previous prime is 54489642469. The next prime is 54489642491. The reversal of 54489642480 is 8424698445.

It is a happy number.

54489642480 is a `hidden beast` number, since 5 + 4 + 489 + 64 + 24 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (54489642469) and next prime (54489642491).

It is a super-2 number, since 2×544896424802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1472693022 + ... + 1472693058.

It is an arithmetic number, because the mean of its divisors is an integer number (173124770).

Almost surely, 254489642480 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 54489642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649834400).

54489642480 is an abundant number, since it is smaller than the sum of its proper divisors (194810026320).

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

54489642480 is a wasteful number, since it uses less digits than its factorization.

54489642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

It can be divided in two parts, 544 and 89642480, that added together give a square (89643024 = 94682).

The spelling of 54489642480 in words is "fifty-four billion, four hundred eighty-nine million, six hundred forty-two thousand, four hundred eighty".