Search a number
-
+
5127148417215 = 3511210127969061
BaseRepresentation
bin100101010011100000111…
…0111000011000010111111
3200011011001210021221211210
41022213001313003002333
51133000344443322330
614523213544215503
71036265342322066
oct112470167030277
920134053257753
105127148417215
1116a7458687300
126a981376a593
132b264624abb6
1413a2262411dd
158d58005b8b0
hex4a9c1dc30bf

5127148417215 has 48 divisors (see below), whose sum is σ = 9106279082208. Its totient is φ = 2461277280000.

The previous prime is 5127148417211. The next prime is 5127148417241.

5127148417215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5127148417215 - 22 = 5127148417211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5127148417211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13801216 + ... + 14167845.

It is an arithmetic number, because the mean of its divisors is an integer number (189714147546).

Almost surely, 25127148417215 is an apocalyptic number.

5127148417215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5127148417215 is a deficient number, since it is larger than the sum of its proper divisors (3979130664993).

5127148417215 is a wasteful number, since it uses less digits than its factorization.

5127148417215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27969192 (or 27969181 counting only the distinct ones).

The product of its digits is 627200, while the sum is 48.

The spelling of 5127148417215 in words is "five trillion, one hundred twenty-seven billion, one hundred forty-eight million, four hundred seventeen thousand, two hundred fifteen".

Divisors: 1 3 5 11 15 33 55 101 121 165 303 363 505 605 1111 1515 1815 3333 5555 12221 16665 36663 61105 183315 27969061 83907183 139845305 307659671 419535915 922979013 1538298355 2824875161 3384256381 4614895065 8474625483 10152769143 14124375805 16921281905 31073626771 42373127415 50763845715 93220880313 155368133855 341809894481 466104401565 1025429683443 1709049472405 5127148417215