Search a number
-
+
5135227338816 = 2632944212
BaseRepresentation
bin100101010111010001101…
…1001101100000001000000
3200011220220211012200211100
41022232203121230001000
51133113421144320231
614531031343414400
71040002502114301
oct112564331540100
920156824180740
105135227338816
1116aa923a59713
126ab2a92b4400
132b3332c34593
1413a7911b07a8
158d8a44461e6
hex4aba366c040

5135227338816 has 63 divisors (see below), whose sum is σ = 14719357863613. Its totient is φ = 1711724317440.

The previous prime is 5135227338799. The next prime is 5135227338847. The reversal of 5135227338816 is 6188337225315.

The square root of 5135227338816 is 2266104.

It is a perfect power (a square), and thus also a powerful number.

5135227338816 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 227 + 338 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3652287921216 + 1482939417600 = 1911096^2 + 1217760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54339286 + ... + 54433706.

Almost surely, 25135227338816 is an apocalyptic number.

5135227338816 is the 2266104-th square number.

It is an amenable number.

5135227338816 is an abundant number, since it is smaller than the sum of its proper divisors (9584130524797).

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

5135227338816 is an frugal number, since it uses more digits than its factorization.

5135227338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188860 (or 94426 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 5135227338816 in words is "five trillion, one hundred thirty-five billion, two hundred twenty-seven million, three hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 94421 188842 283263 377684 566526 755368 849789 1133052 1510736 1699578 2266104 3021472 3399156 4532208 6042944 6798312 9064416 13596624 18128832 27193248 54386496 8915325241 17830650482 26745975723 35661300964 53491951446 71322601928 80237927169 106983902892 142645203856 160475854338 213967805784 285290407712 320951708676 427935611568 570580815424 641903417352 855871223136 1283806834704 1711742446272 2567613669408 5135227338816