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54718386144 = 25341432711193
BaseRepresentation
bin110010111101011110…
…000100111111100000
312020020102022000121020
4302331132010333200
51344030401324034
641045352525440
73644654415402
oct627536047740
9166212260536
1054718386144
112122a114434
12a7310b0880
13521046a4a6
142911246b72
151653c20249
hexcbd784fe0

54718386144 has 192 divisors, whose sum is σ = 151243158528. Its totient is φ = 17302118400.

The previous prime is 54718386139. The next prime is 54718386157. The reversal of 54718386144 is 44168381745.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45865612 + ... + 45866804.

It is an arithmetic number, because the mean of its divisors is an integer number (787724784).

Almost surely, 254718386144 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 54718386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75621579264).

54718386144 is an abundant number, since it is smaller than the sum of its proper divisors (96524772384).

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

54718386144 is a wasteful number, since it uses less digits than its factorization.

54718386144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1553 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 54718386144 in words is "fifty-four billion, seven hundred eighteen million, three hundred eighty-six thousand, one hundred forty-four".