Search a number
-
+
13253222432 = 254724332
BaseRepresentation
bin11000101011111010…
…00010000000100000
31021012122021110100002
430111331002000200
5204120311104212
610031034315132
7646266350312
oct142575020040
937178243302
1013253222432
11569110a19a
12269a588aa8
1313329a2068
148da2437b2
155287c0ac2
hex315f42020

13253222432 has 54 divisors (see below), whose sum is σ = 26720959293. Its totient is φ = 6470641152.

The previous prime is 13253222431. The next prime is 13253222441. The reversal of 13253222432 is 23422235231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10808513296 + 2444709136 = 103964^2 + 49444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81404.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13253222395 and 13253222404.

It is not an unprimeable number, because it can be changed into a prime (13253222431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30607688 + ... + 30608120.

Almost surely, 213253222432 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 13253222432

13253222432 is an abundant number, since it is smaller than the sum of its proper divisors (13467736861).

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

13253222432 is an frugal number, since it uses more digits than its factorization.

13253222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 482 counting only the distinct ones).

The product of its digits is 17280, while the sum is 29.

Adding to 13253222432 its reverse (23422235231), we get a palindrome (36675457663).

The spelling of 13253222432 in words is "thirteen billion, two hundred fifty-three million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 433 752 866 1504 1732 2209 3464 4418 6928 8836 13856 17672 20351 35344 40702 70688 81404 162808 187489 325616 374978 651232 749956 956497 1499912 1912994 2999824 3825988 5999648 7651976 8811983 15303952 17623966 30607904 35247932 70495864 140991728 281983456 414163201 828326402 1656652804 3313305608 6626611216 13253222432