Search a number
-
+
212954884793 = 72175922712
BaseRepresentation
bin1100011001010100011…
…0011010101010111001
3202100200012012000112022
43012111012122222321
511442112422303133
6241455150124225
721246135440300
oct3062506325271
9670605160468
10212954884793
118234a531962
12353321b0675
131710a255c91
14a442865437
155815963998
hex319519aab9

212954884793 has 54 divisors (see below), whose sum is σ = 267804194058. Its totient is φ = 168260561280.

The previous prime is 212954884777. The next prime is 212954884823. The reversal of 212954884793 is 397488459212.

212954884793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 200428126864 + 12526757929 = 447692^2 + 111923^2 .

It is not a de Polignac number, because 212954884793 - 24 = 212954884777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212954884693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 785811248 + ... + 785811518.

It is an arithmetic number, because the mean of its divisors is an integer number (4959336927).

Almost surely, 2212954884793 is an apocalyptic number.

It is an amenable number.

212954884793 is a deficient number, since it is larger than the sum of its proper divisors (54849309265).

212954884793 is an frugal number, since it uses more digits than its factorization.

212954884793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 354 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 62.

The spelling of 212954884793 in words is "two hundred twelve billion, nine hundred fifty-four million, eight hundred eighty-four thousand, seven hundred ninety-three".

Divisors: 1 7 17 49 59 119 271 413 833 1003 1897 2891 3481 4607 7021 13279 15989 24367 32249 49147 59177 73441 111923 170569 225743 271813 414239 514087 783461 943351 1248497 1902691 2899673 3598609 4333019 6603457 8739479 13318837 16036967 30331133 46224199 61176353 73661323 112258769 212317931 255648121 515629261 785811383 1789536847 3609404827 4346018057 12526757929 30422126399 212954884793