Search a number
-
+
5361381414 = 235109310093
BaseRepresentation
bin1001111111001000…
…00011000000100110
3111211122101101200000
410333210003000212
541440003201124
62244001002130
7246600663414
oct47744030046
914748341600
105361381414
1123013a6234
121057623346
1367599b34c
1438c0922b4
15215a3c6c9
hex13f903026

5361381414 has 48 divisors (see below), whose sum is σ = 12058776912. Its totient is φ = 1785315168.

The previous prime is 5361381407. The next prime is 5361381419. The reversal of 5361381414 is 4141831635.

5361381414 is a `hidden beast` number, since 536 + 1 + 3 + 81 + 41 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5361381419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526152 + ... + 536244.

It is an arithmetic number, because the mean of its divisors is an integer number (251224519).

Almost surely, 25361381414 is an apocalyptic number.

5361381414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5361381414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029388456).

5361381414 is an abundant number, since it is smaller than the sum of its proper divisors (6697395498).

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

5361381414 is a wasteful number, since it uses less digits than its factorization.

5361381414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11203 (or 11191 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5361381414 is about 73221.4546017764. The cubic root of 5361381414 is about 1750.2183579503.

The spelling of 5361381414 in words is "five billion, three hundred sixty-one million, three hundred eighty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1093 2186 3279 6558 9837 10093 19674 20186 29511 30279 59022 60558 88533 90837 177066 181674 265599 272511 531198 545022 817533 1635066 2452599 4905198 11031649 22063298 33094947 66189894 99284841 198569682 297854523 595709046 893563569 1787127138 2680690707 5361381414