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54450778816 = 2672193141719
BaseRepresentation
bin110010101101100001…
…001111001011000000
312012112202202011100201
4302231201033023000
51343003344410231
641003033054544
73635224661200
oct625541171300
9165482664321
1054450778816
1121102055055
12a677557454
135199ba1765
1428c78a6400
15163a4ae161
hexcad84f2c0

54450778816 has 336 divisors, whose sum is σ = 140100710400. Its totient is φ = 20843827200.

The previous prime is 54450778771. The next prime is 54450778817. The reversal of 54450778816 is 61887705445.

It is not an unprimeable number, because it can be changed into a prime (54450778817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75730905 + ... + 75731623.

It is an arithmetic number, because the mean of its divisors is an integer number (416966400).

Almost surely, 254450778816 is an apocalyptic number.

54450778816 is a gapful number since it is divisible by the number (56) 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 54450778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70050355200).

54450778816 is an abundant number, since it is smaller than the sum of its proper divisors (85649931584).

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

54450778816 is a wasteful number, since it uses less digits than its factorization.

54450778816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 55.

The spelling of 54450778816 in words is "fifty-four billion, four hundred fifty million, seven hundred seventy-eight thousand, eight hundred sixteen".