Search a number
-
+
13223520864 = 253436713901
BaseRepresentation
bin11000101000010111…
…01110101001100000
31021010120101110110000
430110023232221200
5204040210131424
610024053540000
7645456033651
oct142413565140
937116343400
1013223520864
115676372a44
122690644600
1313297a2b78
148d6311528
15525da53c9
hex3142eea60

13223520864 has 120 divisors (see below), whose sum is σ = 38998780128. Its totient is φ = 4395513600.

The previous prime is 13223520853. The next prime is 13223520889. The reversal of 13223520864 is 46802532231.

13223520864 is a `hidden beast` number, since 1 + 32 + 23 + 520 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 944314 + ... + 958214.

Almost surely, 213223520864 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 13223520864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499390064).

13223520864 is an abundant number, since it is smaller than the sum of its proper divisors (25775259264).

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

13223520864 is a wasteful number, since it uses less digits than its factorization.

13223520864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290 (or 14273 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13223520864 in words is "thirteen billion, two hundred twenty-three million, five hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 367 432 648 734 864 1101 1296 1468 2202 2592 2936 3303 4404 5872 6606 8808 9909 11744 13212 13901 17616 19818 26424 27802 29727 35232 39636 41703 52848 55604 59454 79272 83406 105696 111208 118908 125109 158544 166812 222416 237816 250218 317088 333624 375327 444832 475632 500436 667248 750654 951264 1000872 1125981 1334496 1501308 2001744 2251962 3002616 4003488 4503924 5101667 6005232 9007848 10203334 12010464 15305001 18015696 20406668 30610002 36031392 40813336 45915003 61220004 81626672 91830006 122440008 137745009 163253344 183660012 244880016 275490018 367320024 413235027 489760032 550980036 734640048 826470054 1101960072 1469280096 1652940108 2203920144 3305880216 4407840288 6611760432 13223520864