Search a number
-
+
21713222368 = 2531130716747
BaseRepresentation
bin10100001110001101…
…010111101011100000
32002001020020222112001
4110032031113223200
5323432041103433
613550325413344
71366034226205
oct241615275340
962036228461
1021713222368
119232603382
12425b86a254
132080603696
14109da4dcac
1587138257d
hex50e357ae0

21713222368 has 48 divisors (see below), whose sum is σ = 44163270144. Its totient is φ = 10497732480.

The previous prime is 21713222357. The next prime is 21713222369. The reversal of 21713222368 is 86322231712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21713222369) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1288171 + ... + 1304917.

It is an arithmetic number, because the mean of its divisors is an integer number (920068128).

Almost surely, 221713222368 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 21713222368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081635072).

21713222368 is an abundant number, since it is smaller than the sum of its proper divisors (22450047776).

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

21713222368 is a wasteful number, since it uses less digits than its factorization.

21713222368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18095 (or 18087 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The spelling of 21713222368 in words is "twenty-one billion, seven hundred thirteen million, two hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1307 2614 5228 10456 16747 20912 33494 40517 41824 66988 81034 133976 162068 267952 324136 519157 535904 648272 1038314 1296544 2076628 4153256 8306512 16613024 21888329 43776658 87553316 175106632 350213264 678538199 700426528 1357076398 2714152796 5428305592 10856611184 21713222368