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53752347000 = 233253111633331
BaseRepresentation
bin110010000011111000…
…111011100101111000
312010202002112011000200
4302003320323211320
51340041100101000
640405443202200
73612014260632
oct620370734570
9163662464020
1053752347000
1120883886980
12a501676360
1350b82910b1
14285cc19a52
1515e8eeb500
hexc83e3b978

53752347000 has 384 divisors, whose sum is σ = 199475377920. Its totient is φ = 12947040000.

The previous prime is 53752346993. The next prime is 53752347013. The reversal of 53752347000 is 74325735.

53752347000 is a `hidden beast` number, since 537 + 52 + 3 + 4 + 70 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16135335 + ... + 16138665.

It is an arithmetic number, because the mean of its divisors is an integer number (519467130).

Almost surely, 253752347000 is an apocalyptic number.

53752347000 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 53752347000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99737688960).

53752347000 is an abundant number, since it is smaller than the sum of its proper divisors (145723030920).

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

53752347000 is a wasteful number, since it uses less digits than its factorization.

53752347000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The spelling of 53752347000 in words is "fifty-three billion, seven hundred fifty-two million, three hundred forty-seven thousand".