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52607245824 = 2933717113283
BaseRepresentation
bin110000111111101000…
…101101111000000000
312000210021210222112000
4300333220231320000
51330214423331244
640100055504000
73541441132350
oct607750557000
9160707728460
1052607245824
1120346467471
12a242088000
134c64c7ba33
142790adab60
15157d707169
hexc3fa2de00

52607245824 has 640 divisors, whose sum is σ = 190774932480. Its totient is φ = 13971750912.

The previous prime is 52607245813. The next prime is 52607245879. The reversal of 52607245824 is 42854270625.

52607245824 is a `hidden beast` number, since 5 + 2 + 60 + 7 + 2 + 4 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52607245824.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 185891187 + ... + 185891469.

It is an arithmetic number, because the mean of its divisors is an integer number (298085832).

Almost surely, 252607245824 is an apocalyptic number.

52607245824 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 52607245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95387466240).

52607245824 is an abundant number, since it is smaller than the sum of its proper divisors (138167686656).

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

52607245824 is a wasteful number, since it uses less digits than its factorization.

52607245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 52607245824 in words is "fifty-two billion, six hundred seven million, two hundred forty-five thousand, eight hundred twenty-four".