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52572120040 = 235113121011231
BaseRepresentation
bin110000111101100010…
…101110001111101000
312000200211201102000001
4300331202232033220
51330131430320130
640052402552344
73540533434666
oct607542561750
9160624642001
1052572120040
11203286559a0
12a2323686b4
134c5a90094b
14278a195c36
15157a5b96ca
hexc3d8ae3e8

52572120040 has 192 divisors, whose sum is σ = 134767100160. Its totient is φ = 18302400000.

The previous prime is 52572120031. The next prime is 52572120047. The reversal of 52572120040 is 4002127525.

It is a junction number, because it is equal to n+sod(n) for n = 52572119990 and 52572120008.

It is not an unprimeable number, because it can be changed into a prime (52572120047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42706225 + ... + 42707455.

It is an arithmetic number, because the mean of its divisors is an integer number (701911980).

Almost surely, 252572120040 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 52572120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67383550080).

52572120040 is an abundant number, since it is smaller than the sum of its proper divisors (82194980120).

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

52572120040 is a wasteful number, since it uses less digits than its factorization.

52572120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

Adding to 52572120040 its reverse (4002127525), we get a palindrome (56574247565).

The spelling of 52572120040 in words is "fifty-two billion, five hundred seventy-two million, one hundred twenty thousand, forty".