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52931799648 = 25357131931127
BaseRepresentation
bin110001010010111110…
…110010101001100000
312001121220112000200000
4301102332302221200
51331401020042043
640152212100000
73552461605410
oct612276625140
9161556460600
1052931799648
11204a2691572
12a312904600
134cb7295910
1427c1c62640
15159be662d3
hexc52fb2a60

52931799648 has 1152 divisors, whose sum is σ = 210402017280. Its totient is φ = 12697896960.

The previous prime is 52931799643. The next prime is 52931799671. The reversal of 52931799648 is 84699713925.

52931799648 is a `hidden beast` number, since 529 + 3 + 17 + 9 + 96 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52931799643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416785761 + ... + 416785887.

It is an arithmetic number, because the mean of its divisors is an integer number (182640640).

Almost surely, 252931799648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52931799648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105201008640).

52931799648 is an abundant number, since it is smaller than the sum of its proper divisors (157470217632).

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

52931799648 is a wasteful number, since it uses less digits than its factorization.

52931799648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 52931799648 in words is "fifty-two billion, nine hundred thirty-one million, seven hundred ninety-nine thousand, six hundred forty-eight".