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54340765632 = 2632234339473
BaseRepresentation
bin110010100110111101…
…100100011111000000
312012021002201220122100
4302212331210133000
51342242214000012
640544103110400
73632420613066
oct624675443700
9165232656570
1054340765632
1121055a4456a
12a646742400
1351801633ba
1428b702a036
1516309cc8dc
hexca6f647c0

54340765632 has 168 divisors, whose sum is σ = 162922634784. Its totient is φ = 17284202496.

The previous prime is 54340765621. The next prime is 54340765651. The reversal of 54340765632 is 23656704345.

54340765632 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 0 + 7 + 6 + 5 + 632 = 666.

54340765632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5731648 + ... + 5741120.

It is an arithmetic number, because the mean of its divisors is an integer number (969777588).

Almost surely, 254340765632 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 54340765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81461317392).

54340765632 is an abundant number, since it is smaller than the sum of its proper divisors (108581869152).

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

54340765632 is a wasteful number, since it uses less digits than its factorization.

54340765632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 54340765632 in words is "fifty-four billion, three hundred forty million, seven hundred sixty-five thousand, six hundred thirty-two".