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2738862482085 = 325292098745197
BaseRepresentation
bin100111110110110000111…
…011001110001010100101
3100200211111000221212222100
4213312300323032022211
5324333142243411320
65454114400122313
7401606364656442
oct47666073161245
910624430855870
102738862482085
119665aa518474
12382987606399
1316b3731c8032
14967c12589c9
154b39dc74790
hex27db0ece2a5

2738862482085 has 24 divisors (see below), whose sum is σ = 4911063763320. Its totient is φ = 1410356771712.

The previous prime is 2738862481931. The next prime is 2738862482087. The reversal of 2738862482085 is 5802842688372.

2738862482085 is a `hidden beast` number, since 2 + 7 + 388 + 6 + 2 + 48 + 208 + 5 = 666.

2738862482085 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37487542689 + 2701374939396 = 193617^2 + 1643586^2 .

It is not a de Polignac number, because 2738862482085 - 217 = 2738862351013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738862482087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049371294 + ... + 1049373903.

It is an arithmetic number, because the mean of its divisors is an integer number (204627656805).

Almost surely, 22738862482085 is an apocalyptic number.

It is an amenable number.

2738862482085 is a deficient number, since it is larger than the sum of its proper divisors (2172201281235).

2738862482085 is a wasteful number, since it uses less digits than its factorization.

2738862482085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098745237 (or 2098745234 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 2738862482085 in words is "two trillion, seven hundred thirty-eight billion, eight hundred sixty-two million, four hundred eighty-two thousand, eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 2098745197 6296235591 10493725985 18888706773 31481177955 60863610713 94443533865 182590832139 304318053565 547772496417 912954160695 2738862482085