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52359071040 = 2632530759219
BaseRepresentation
bin110000110000110110…
…000000010101000000
312000010222211101201100
4300300312000111000
51324212410233130
640015312334400
73532335521613
oct606066002500
9160128741640
1052359071040
1120229370041
12a192b44400
134c25728053
142769b7817a
151566a33c60
hexc30d80540

52359071040 has 168 divisors, whose sum is σ = 180683062560. Its totient is φ = 13916703744.

The previous prime is 52359070987. The next prime is 52359071057. The reversal of 52359071040 is 4017095325.

52359071040 is a `hidden beast` number, since 5 + 23 + 590 + 7 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52359070986 and 52359071004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854551 + ... + 913769.

It is an arithmetic number, because the mean of its divisors is an integer number (1075494420).

Almost surely, 252359071040 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 52359071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90341531280).

52359071040 is an abundant number, since it is smaller than the sum of its proper divisors (128323991520).

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

52359071040 is a wasteful number, since it uses less digits than its factorization.

52359071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59549 (or 59536 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 52359071040 in words is "fifty-two billion, three hundred fifty-nine million, seventy-one thousand, forty".