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213217255764 = 223223257508763
BaseRepresentation
bin1100011010010010111…
…1010010000101010100
3202101100110212211211200
43012210233102011110
511443132104141024
6241541201432500
721255502525242
oct3064457220524
9671313784750
10213217255764
1182474645077
12353a603b730
131714c70a486
14a469641792
15582d9dd2c9
hex31a4bd2154

213217255764 has 36 divisors (see below), whose sum is σ = 562399140576. Its totient is φ = 67982313168.

The previous prime is 213217255739. The next prime is 213217255781. The reversal of 213217255764 is 467552712312.

213217255764 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 72 + 5 + 576 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128753554 + ... + 128755209.

Almost surely, 2213217255764 is an apocalyptic number.

It is an amenable number.

213217255764 is an abundant number, since it is smaller than the sum of its proper divisors (349181884812).

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

213217255764 is a wasteful number, since it uses less digits than its factorization.

213217255764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257508796 (or 257508791 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 213217255764 in words is "two hundred thirteen billion, two hundred seventeen million, two hundred fifty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 257508763 515017526 772526289 1030035052 1545052578 2317578867 3090105156 4635157734 5922701549 9270315468 11845403098 17768104647 23690806196 35536209294 53304313941 71072418588 106608627882 213217255764