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54493539264 = 263510334019
BaseRepresentation
bin110010110000000100…
…010110101111000000
312012122202012121200000
4302300010112233000
51343100321224024
641011201400000
73636254304213
oct626004265700
9165582177600
1054493539264
112112420066a
12a689939000
1351a59c38b8
1428cd43777a
15163e108cc9
hexcb0116bc0

54493539264 has 168 divisors, whose sum is σ = 163558362240. Its totient is φ = 17987629824.

The previous prime is 54493539263. The next prime is 54493539407. The reversal of 54493539264 is 46293539445.

54493539264 is a `hidden beast` number, since 5 + 4 + 49 + 3 + 539 + 2 + 64 = 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 54493539264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54493539263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584847 + ... + 1618865.

It is an arithmetic number, because the mean of its divisors is an integer number (973561680).

Almost surely, 254493539264 is an apocalyptic number.

54493539264 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 54493539264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81779181120).

54493539264 is an abundant number, since it is smaller than the sum of its proper divisors (109064822976).

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

54493539264 is a wasteful number, since it uses less digits than its factorization.

54493539264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34149 (or 34127 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 54493539264 in words is "fifty-four billion, four hundred ninety-three million, five hundred thirty-nine thousand, two hundred sixty-four".