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52241863433760 = 253557211131131697
BaseRepresentation
bin10111110000011100000011…
…01101100101111000100000
320211222021101021201120200000
423320032001231211320200
523321412314014340020
6303035325235100000
714001231035246400
oct1370160155457040
9224867337646600
1052241863433760
1115711716a69510
125a389a6441600
13231c5044289a0
14cc873c012800
15608de6482090
hex2f8381b65e20

52241863433760 has 3456 divisors, whose sum is σ = 255046787783424. Its totient is φ = 9925888573440.

The previous prime is 52241863433651. The next prime is 52241863433761. The reversal of 52241863433760 is 6733436814225.

52241863433760 is a `hidden beast` number, since 5 + 2 + 24 + 186 + 3 + 433 + 7 + 6 + 0 = 666.

52241863433760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 52241863433697 and 52241863433706.

It is not an unprimeable number, because it can be changed into a prime (52241863433761) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 30784833232 + ... + 30784834928.

It is an arithmetic number, because the mean of its divisors is an integer number (73798260354).

Almost surely, 252241863433760 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 52241863433760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127523393891712).

52241863433760 is an abundant number, since it is smaller than the sum of its proper divisors (202804924349664).

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

52241863433760 is a wasteful number, since it uses less digits than its factorization.

52241863433760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 52241863433760 in words is "fifty-two trillion, two hundred forty-one billion, eight hundred sixty-three million, four hundred thirty-three thousand, seven hundred sixty".