Search a number
-
+
13221646476 = 2232940992893
BaseRepresentation
bin11000101000001001…
…00101000010001100
31021010102212020021020
430110010211002030
5204034220141401
610023545434140
7645434066163
oct142404450214
937112766236
1013221646476
115675302765
12268ba9b950
13132929796c
148d5d843da
15525b34d36
hex31412508c

13221646476 has 48 divisors (see below), whose sum is σ = 31992693600. Its totient is φ = 4244792832.

The previous prime is 13221646457. The next prime is 13221646507. The reversal of 13221646476 is 67464612231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95886 + ... + 188778.

It is an arithmetic number, because the mean of its divisors is an integer number (666514450).

Almost surely, 213221646476 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 13221646476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15996346800).

13221646476 is an abundant number, since it is smaller than the sum of its proper divisors (18771047124).

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

13221646476 is a wasteful number, since it uses less digits than its factorization.

13221646476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93338 (or 93336 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 13221646476 in words is "thirteen billion, two hundred twenty-one million, six hundred forty-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 409 818 1227 1636 2454 4908 11861 23722 35583 47444 71166 92893 142332 185786 278679 371572 557358 1114716 2693897 5387794 8081691 10775588 16163382 32326764 37993237 75986474 113979711 151972948 227959422 455918844 1101803873 2203607746 3305411619 4407215492 6610823238 13221646476