Search a number
-
+
13162206752 = 2517211932
BaseRepresentation
bin11000100001000011…
…10101011000100000
31020222022000101021222
430100201311120200
5203424011104002
610014023434212
7644112624422
oct142041653040
936868011258
1013162206752
1156447a4822
122673bb5968
131319b85a26
148cc110812
155207e31a2
hex310875620

13162206752 has 54 divisors (see below), whose sum is σ = 27550152063. Its totient is φ = 6188787712.

The previous prime is 13162206751. The next prime is 13162206763. The reversal of 13162206752 is 25760226131.

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 5 ways, for example, as 10395025936 + 2767180816 = 101956^2 + 52604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81124.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13162206751) 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, 11032268 + ... + 11033460.

Almost surely, 213162206752 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 13162206752

13162206752 is an abundant number, since it is smaller than the sum of its proper divisors (14387945311).

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

13162206752 is an frugal number, since it uses more digits than its factorization.

13162206752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 13162206752 in words is "thirteen billion, one hundred sixty-two million, two hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 1193 2312 2386 4624 4772 9248 9544 19088 20281 38176 40562 81124 162248 324496 344777 648992 689554 1379108 1423249 2758216 2846498 5516432 5692996 11032864 11385992 22771984 24195233 45543968 48390466 96780932 193561864 387123728 411318961 774247456 822637922 1645275844 3290551688 6581103376 13162206752