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52443948960 = 25355131943127
BaseRepresentation
bin110000110101111001…
…110010011110100000
312000100220112122100000
4300311321302132200
51324401122331320
640031543500000
73534416132244
oct606571623640
9160326478300
1052443948960
1120272273087
12a1b7457600
134c3a1a5780
142777150424
15156e1ecc90
hexc35e727a0

52443948960 has 1152 divisors, whose sum is σ = 216977080320. Its totient is φ = 11851370496.

The previous prime is 52443948929. The next prime is 52443948961. The reversal of 52443948960 is 6984934425.

52443948960 is a `hidden beast` number, since 5 + 244 + 394 + 8 + 9 + 6 + 0 = 666.

52443948960 is digitally balanced in base 2, 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 = 52443948897 and 52443948906.

It is not an unprimeable number, because it can be changed into a prime (52443948961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412944417 + ... + 412944543.

It is an arithmetic number, because the mean of its divisors is an integer number (188348160).

Almost surely, 252443948960 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 52443948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108488540160).

52443948960 is an abundant number, since it is smaller than the sum of its proper divisors (164533131360).

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

52443948960 is a wasteful number, since it uses less digits than its factorization.

52443948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 52443948960 in words is "fifty-two billion, four hundred forty-three million, nine hundred forty-eight thousand, nine hundred sixty".