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5146114536 = 233271473813
BaseRepresentation
bin1001100101011101…
…10111100111101000
3111021122022201000200
410302232313213220
541014401131121
62210351032200
7241345152243
oct46256674750
914248281020
105146114536
112200936022
12bb750b660
136401ca0b4
1436b65825a
15201bb9a26
hex132bb79e8

5146114536 has 24 divisors (see below), whose sum is σ = 13937393730. Its totient is φ = 1715371488.

The previous prime is 5146114517. The next prime is 5146114537. The reversal of 5146114536 is 6354116415.

5146114536 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 114 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4718865636 + 427248900 = 68694^2 + 20670^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5146114536.

It is not an unprimeable number, because it can be changed into a prime (5146114537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35736835 + ... + 35736978.

Almost surely, 25146114536 is an apocalyptic number.

It is an amenable number.

5146114536 is an abundant number, since it is smaller than the sum of its proper divisors (8791279194).

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

5146114536 is a wasteful number, since it uses less digits than its factorization.

5146114536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71473825 (or 71473818 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5146114536 is about 71736.4240536145. The cubic root of 5146114536 is about 1726.4730998176.

The spelling of 5146114536 in words is "five billion, one hundred forty-six million, one hundred fourteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 71473813 142947626 214421439 285895252 428842878 571790504 643264317 857685756 1286528634 1715371512 2573057268 5146114536