Search a number
-
+
59231284992 = 28361124361
BaseRepresentation
bin110111001010011101…
…011010111100000000
312122212221010001000000
4313022131122330000
51432301202104432
643113244000000
74164543421035
oct671235327400
9178787101000
1059231284992
1123135575100
12b590530000
13577c40c139
142c1c74d38c
15181a00a57c
hexdca75af00

59231284992 has 756 divisors, whose sum is σ = 202645548952. Its totient is φ = 17244057600.

The previous prime is 59231284991. The next prime is 59231284997. The reversal of 59231284992 is 29948213295.

59231284992 is a `hidden beast` number, since 5 + 9 + 23 + 128 + 499 + 2 = 666.

59231284992 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).

Its product of digits (2799360) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59231284991) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 971004642 + ... + 971004702.

Almost surely, 259231284992 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 59231284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101322774476).

59231284992 is an abundant number, since it is smaller than the sum of its proper divisors (143414263960).

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

59231284992 is an equidigital number, since it uses as much as digits as its factorization.

59231284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 59231284992 in words is "fifty-nine billion, two hundred thirty-one million, two hundred eighty-four thousand, nine hundred ninety-two".