Search a number
-
+
13263224656 = 24111012632837
BaseRepresentation
bin11000101101000110…
…01011111101010000
31021020100002121210211
430112203023331100
5204130341142111
610032032533504
7646450356313
oct142643137520
937210077724
1013263224656
115696820aa0
1226a19b1294
131334a94936
148db6c897a
155295e9521
hex3168cbf50

13263224656 has 80 divisors (see below), whose sum is σ = 28428859008. Its totient is φ = 5944256000.

The previous prime is 13263224591. The next prime is 13263224671. The reversal of 13263224656 is 65642236231.

13263224656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 4673670 + ... + 4676506.

Almost surely, 213263224656 is an apocalyptic number.

13263224656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13263224656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214429504).

13263224656 is an abundant number, since it is smaller than the sum of its proper divisors (15165634352).

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

13263224656 is a wasteful number, since it uses less digits than its factorization.

13263224656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3214 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The spelling of 13263224656 in words is "thirteen billion, two hundred sixty-three million, two hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 263 404 526 808 1052 1111 1616 2104 2222 2837 2893 4208 4444 5674 5786 8888 11348 11572 17776 22696 23144 26563 31207 45392 46288 53126 62414 106252 124828 212504 249656 286537 292193 425008 499312 573074 584386 746131 1146148 1168772 1492262 2292296 2337544 2984524 3151907 4584592 4675088 5969048 6303814 8207441 11938096 12607628 16414882 25215256 32829764 50430512 65659528 75359231 131319056 150718462 301436924 602873848 828951541 1205747696 1657903082 3315806164 6631612328 13263224656