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54853010016 = 25373172931109
BaseRepresentation
bin110011000101011111…
…101000001001100000
312020120210121121211120
4303011133220021200
51344314332310031
641111002212240
73651210615000
oct630537501140
9166523547746
1054853010016
1121299104332
12a76a1b4080
13523231479c
14292508c000
151660963a96
hexcc57e8260

54853010016 has 768 divisors, whose sum is σ = 191600640000. Its totient is φ = 13655900160.

The previous prime is 54853009997. The next prime is 54853010083. The reversal of 54853010016 is 61001035845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 503238570 + ... + 503238678.

It is an arithmetic number, because the mean of its divisors is an integer number (249480000).

Almost surely, 254853010016 is an apocalyptic number.

54853010016 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 54853010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320000).

54853010016 is an abundant number, since it is smaller than the sum of its proper divisors (136747629984).

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

54853010016 is a wasteful number, since it uses less digits than its factorization.

54853010016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 54853010016 in words is "fifty-four billion, eight hundred fifty-three million, ten thousand, sixteen".