Search a number
-
+
13216100464 = 247216857271
BaseRepresentation
bin11000100111011110…
…11011000001110000
31021010001102110120101
430103233123001300
5204031310203324
610023230522144
7645336000100
oct142357330160
937101373511
1013216100464
115672164986
12268a066354
1313280a54b8
148d533d200
155253db944
hex313bdb070

13216100464 has 30 divisors (see below), whose sum is σ = 29786799624. Its totient is φ = 5664042720.

The previous prime is 13216100437. The next prime is 13216100483. The reversal of 13216100464 is 46400161231.

13216100464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132161004642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 5 ways as a sum of consecutive naturals, for example, 8427852 + ... + 8429419.

Almost surely, 213216100464 is an apocalyptic number.

13216100464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13216100464 is an abundant number, since it is smaller than the sum of its proper divisors (16570699160).

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

13216100464 is a wasteful number, since it uses less digits than its factorization.

13216100464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16857293 (or 16857280 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13216100464 its reverse (46400161231), we get a palindrome (59616261695).

The spelling of 13216100464 in words is "thirteen billion, two hundred sixteen million, one hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 16857271 33714542 67429084 118000897 134858168 236001794 269716336 472003588 826006279 944007176 1652012558 1888014352 3304025116 6608050232 13216100464