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52675207200 = 2537527111723
BaseRepresentation
bin110001000011101011…
…111110000000100000
312000222000200210000000
4301003223332000200
51330334323112300
640110524300000
73543224605440
oct610353760040
9160860623000
1052675207200
11203808658a0
12a2609a1600
134c76085675
142799b4c120
15158467dc00
hexc43afe020

52675207200 has 2304 divisors, whose sum is σ = 265662996480. Its totient is φ = 9853747200.

The previous prime is 52675207187. The next prime is 52675207243. The reversal of 52675207200 is 270257625.

52675207200 is a `hidden beast` number, since 5 + 2 + 67 + 520 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2290226389 + ... + 2290226411.

It is an arithmetic number, because the mean of its divisors is an integer number (115305120).

Almost surely, 252675207200 is an apocalyptic number.

52675207200 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 52675207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132831498240).

52675207200 is an abundant number, since it is smaller than the sum of its proper divisors (212987789280).

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

52675207200 is a wasteful number, since it uses less digits than its factorization.

52675207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 52675207200 in words is "fifty-two billion, six hundred seventy-five million, two hundred seven thousand, two hundred".