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54869433600 = 283525948437
BaseRepresentation
bin110011000110011110…
…010001110100000000
312020121221112000202110
4303012132101310000
51344333033333400
641112350215320
73651500330112
oct630636216400
9166557460673
1054869433600
11212a7401643
12a7737b4540
135235845097
1429273253b2
151662109e50
hexcc6791d00

54869433600 has 216 divisors, whose sum is σ = 184153525920. Its totient is φ = 14383554560.

The previous prime is 54869433589. The next prime is 54869433637. The reversal of 54869433600 is 633496845.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54869433600.

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, 1108582 + ... + 1157018.

It is an arithmetic number, because the mean of its divisors is an integer number (852562620).

Almost surely, 254869433600 is an apocalyptic number.

54869433600 is a gapful number since it is divisible by the number (50) 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 54869433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92076762960).

54869433600 is an abundant number, since it is smaller than the sum of its proper divisors (129284092320).

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

54869433600 is a wasteful number, since it uses less digits than its factorization.

54869433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48525 (or 48506 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 54869433600 in words is "fifty-four billion, eight hundred sixty-nine million, four hundred thirty-three thousand, six hundred".