Search a number
-
+
5336129412 = 2232148225817
BaseRepresentation
bin1001111100000111…
…01101111110000100
3111202212212110102200
410332003231332010
541412022120122
62241255434500
7246143231415
oct47603557604
914685773380
105336129412
112299119009
12104b085a30
13670699533
1438899b80c
152137005ac
hex13e0edf84

5336129412 has 18 divisors (see below), whose sum is σ = 13488549438. Its totient is φ = 1778709792.

The previous prime is 5336129387. The next prime is 5336129413. The reversal of 5336129412 is 2149216335.

5336129412 is a `hidden beast` number, since 5 + 3 + 361 + 294 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3084247296 + 2251882116 = 55536^2 + 47454^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×53361294122 = 56948554203222931488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 148225817 = 5336129412 / (5 + 3 + 3 + 6 + 1 + 2 + 9 + 4 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (5336129413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74112873 + ... + 74112944.

Almost surely, 25336129412 is an apocalyptic number.

It is an amenable number.

5336129412 is an abundant number, since it is smaller than the sum of its proper divisors (8152420026).

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

5336129412 is a wasteful number, since it uses less digits than its factorization.

5336129412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148225827 (or 148225822 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5336129412 is about 73048.8152676003. The cubic root of 5336129412 is about 1747.4662010937.

The spelling of 5336129412 in words is "five billion, three hundred thirty-six million, one hundred twenty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 148225817 296451634 444677451 592903268 889354902 1334032353 1778709804 2668064706 5336129412