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52693369344 = 293471129569
BaseRepresentation
bin110001000100110001…
…010000001000000000
312001000021212111210000
4301010301100020000
51330404000304334
640112413440000
73543535151340
oct610461201000
9161007774700
1052693369344
1120390040330
12a266aa0000
134c79a743b5
14279c318d20
15158606a299
hexc44c50200

52693369344 has 800 divisors, whose sum is σ = 203202172800. Its totient is φ = 13191413760.

The previous prime is 52693369297. The next prime is 52693369367. The reversal of 52693369344 is 44396339625.

52693369344 is a `hidden beast` number, since 5 + 269 + 3 + 36 + 9 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92606692 + ... + 92607260.

It is an arithmetic number, because the mean of its divisors is an integer number (254002716).

Almost surely, 252693369344 is an apocalyptic number.

52693369344 is a gapful number since it is divisible by the number (54) 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 52693369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101601086400).

52693369344 is an abundant number, since it is smaller than the sum of its proper divisors (150508803456).

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

52693369344 is a wasteful number, since it uses less digits than its factorization.

52693369344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 621 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 54.

The spelling of 52693369344 in words is "fifty-two billion, six hundred ninety-three million, three hundred sixty-nine thousand, three hundred forty-four".