Search a number
-
+
213534327264 = 2532224315909
BaseRepresentation
bin1100011011011110100…
…0110100000111100000
3202102011120111202011120
43012313220310013200
511444304241433024
6242032445412240
721266402556036
oct3066750640740
9672146452146
10213534327264
1182617619635
123547426a080
13171a030474b
14a4997ba556
15584b770479
hex31b7a341e0

213534327264 has 24 divisors (see below), whose sum is σ = 560527609320. Its totient is φ = 71178109056.

The previous prime is 213534327239. The next prime is 213534327269. The reversal of 213534327264 is 462723435312.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213534327269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112157859 + ... + 1112158050.

It is an arithmetic number, because the mean of its divisors is an integer number (23355317055).

Almost surely, 2213534327264 is an apocalyptic number.

213534327264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213534327264 is an abundant number, since it is smaller than the sum of its proper divisors (346993282056).

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

213534327264 is a wasteful number, since it uses less digits than its factorization.

213534327264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224315922 (or 2224315914 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The spelling of 213534327264 in words is "two hundred thirteen billion, five hundred thirty-four million, three hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2224315909 4448631818 6672947727 8897263636 13345895454 17794527272 26691790908 35589054544 53383581816 71178109088 106767163632 213534327264