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52971297120 = 25325723161397
BaseRepresentation
bin110001010101010101…
…011101100101100000
312001201122211201000100
4301111111131211200
51331441123001440
640200142422400
73553451411400
oct612525354540
9161648751010
1052971297120
1120512a09605
12a323b91a00
134cc25147c1
1427c71c4800
1515a0669230
hexc5555d960

52971297120 has 864 divisors, whose sum is σ = 221174343936. Its totient is φ = 11496038400.

The previous prime is 52971297091. The next prime is 52971297121. The reversal of 52971297120 is 2179217925.

52971297120 is a `hidden beast` number, since 529 + 7 + 12 + 97 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52971297121) 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 143 ways as a sum of consecutive naturals, for example, 133428762 + ... + 133429158.

It is an arithmetic number, because the mean of its divisors is an integer number (255988824).

Almost surely, 252971297120 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 52971297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110587171968).

52971297120 is an abundant number, since it is smaller than the sum of its proper divisors (168203046816).

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

52971297120 is a wasteful number, since it uses less digits than its factorization.

52971297120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 52971297120 in words is "fifty-two billion, nine hundred seventy-one million, two hundred ninety-seven thousand, one hundred twenty".