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54323717116032 = 273571338350111
BaseRepresentation
bin11000101101000001110011…
…10111001001000010000000
321010100022000020201022200000
430112200321313021002000
524110014433040203112
6311311545432400000
714304521231465520
oct1426407167110200
9233308006638600
1054323717116032
11163446171062a1
126114372b46000
132440920b5c380
14d5b3d38c9680
1564314053c7dc
hex316839dc9080

54323717116032 has 768 divisors, whose sum is σ = 200047232286720. Its totient is φ = 14289441361920.

The previous prime is 54323717115991. The next prime is 54323717116043. The reversal of 54323717116032 is 23061171732345.

54323717116032 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 37 + 1 + 7 + 1 + 1 + 603 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1084042657 + ... + 1084092767.

It is an arithmetic number, because the mean of its divisors is an integer number (260478167040).

Almost surely, 254323717116032 is an apocalyptic number.

54323717116032 is a gapful number since it is divisible by the number (52) 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 54323717116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100023616143360).

54323717116032 is an abundant number, since it is smaller than the sum of its proper divisors (145723515170688).

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

54323717116032 is a wasteful number, since it uses less digits than its factorization.

54323717116032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50543 (or 50519 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 54323717116032 its reverse (23061171732345), we get a palindrome (77384888848377).

The spelling of 54323717116032 in words is "fifty-four trillion, three hundred twenty-three billion, seven hundred seventeen million, one hundred sixteen thousand, thirty-two".