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54136863144 = 2332713314753107
BaseRepresentation
bin110010011010110011…
…101111100110101000
312011201220001121000100
4302122303233212220
51341333014110034
640511540505400
73624363513150
oct623263574650
9164656047010
1054136863144
1120a60936611
12a5aa3ab260
135149b40a40
142897d0d760
15161cb52099
hexc9acef9a8

54136863144 has 768 divisors, whose sum is σ = 195641671680. Its totient is φ = 13144135680.

The previous prime is 54136863061. The next prime is 54136863149. The reversal of 54136863144 is 44136863145.

54136863144 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 6 + 8 + 631 + 4 + 4 = 666.

Its product of digits (829440) is a multiple of the sum of its prime factors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 54136863144.

It is not an unprimeable number, because it can be changed into a prime (54136863149) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 505951939 + ... + 505952045.

It is an arithmetic number, because the mean of its divisors is an integer number (254741760).

Almost surely, 254136863144 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 54136863144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97820835840).

54136863144 is an abundant number, since it is smaller than the sum of its proper divisors (141504808536).

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

54136863144 is a wasteful number, since it uses less digits than its factorization.

54136863144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

Subtracting from 54136863144 its reverse (44136863145), we obtain a palindrome (9999999999).

The spelling of 54136863144 in words is "fifty-four billion, one hundred thirty-six million, eight hundred sixty-three thousand, one hundred forty-four".