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54413535264 = 253111724112577
BaseRepresentation
bin110010101011010011…
…001010100000100000
312012110011122222210220
4302223103022200200
51342414331112024
640555222523040
73634263263334
oct625323124040
9165404588726
1054413535264
1121093027460
12a666b96480
13519226175a
1428c296d7c4
1516370a3e79
hexcab4ca820

54413535264 has 192 divisors, whose sum is σ = 165684258432. Its totient is φ = 15453388800.

The previous prime is 54413535259. The next prime is 54413535269. The reversal of 54413535264 is 46253531445.

It is an interprime number because it is at equal distance from previous prime (54413535259) and next prime (54413535269).

It is not an unprimeable number, because it can be changed into a prime (54413535269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4320144 + ... + 4332720.

It is an arithmetic number, because the mean of its divisors is an integer number (862938846).

Almost surely, 254413535264 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 54413535264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82842129216).

54413535264 is an abundant number, since it is smaller than the sum of its proper divisors (111270723168).

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

54413535264 is a wasteful number, since it uses less digits than its factorization.

54413535264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12859 (or 12851 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

The spelling of 54413535264 in words is "fifty-four billion, four hundred thirteen million, five hundred thirty-five thousand, two hundred sixty-four".