Search a number
-
+
15134632352 = 257217355793
BaseRepresentation
bin11100001100001100…
…00010100110100000
31110001202110222112222
432012012002212200
5221443431213402
610541443410212
71044023152400
oct160606024640
943052428488
1015134632352
116467118324
122b24683968
1315726c7178
14a3806c800
155d8a5a7a2
hex3861829a0

15134632352 has 72 divisors (see below), whose sum is σ = 34861988196. Its totient is φ = 6448662528.

The previous prime is 15134632321. The next prime is 15134632369. The reversal of 15134632352 is 25323643151.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15129984016 + 4648336 = 123004^2 + 2156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243368 + ... + 299160.

Almost surely, 215134632352 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 15134632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430994098).

15134632352 is an abundant number, since it is smaller than the sum of its proper divisors (19727355844).

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

15134632352 is a wasteful number, since it uses less digits than its factorization.

15134632352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55990 (or 55975 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The spelling of 15134632352 in words is "fifteen billion, one hundred thirty-four million, six hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 173 196 224 346 392 692 784 1211 1384 1568 2422 2768 4844 5536 8477 9688 16954 19376 33908 38752 55793 67816 111586 135632 223172 271264 390551 446344 781102 892688 1562204 1785376 2733857 3124408 5467714 6248816 9652189 10935428 12497632 19304378 21870856 38608756 43741712 67565323 77217512 87483424 135130646 154435024 270261292 308870048 472957261 540522584 945914522 1081045168 1891829044 2162090336 3783658088 7567316176 15134632352