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2740545104544 = 253213731983201
BaseRepresentation
bin100111111000010101001…
…101111010101010100000
3100200222211022002222001200
4213320111031322222200
5324400114021321134
65454553344401200
7401666156014332
oct47702515725240
910628738088050
102740545104544
119672932a1645
12383177016200
1316b58099ba20
14969008d9452
154b44b844499
hex27e1537aaa0

2740545104544 has 72 divisors (see below), whose sum is σ = 8392919394132. Its totient is φ = 843244646400.

The previous prime is 2740545104501. The next prime is 2740545104587. The reversal of 2740545104544 is 4454015450472.

2740545104544 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 54 + 51 + 0 + 4 + 544 = 666.

2740545104544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2740545104501) and next prime (2740545104587).

It can be written as a sum of positive squares in 2 ways, for example, as 2732369328144 + 8175776400 = 1652988^2 + 90420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2740545104544.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365987857 + ... + 365995344.

Almost surely, 22740545104544 is an apocalyptic number.

2740545104544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2740545104544 is an abundant number, since it is smaller than the sum of its proper divisors (5652374289588).

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

2740545104544 is a wasteful number, since it uses less digits than its factorization.

2740545104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731983230 (or 731983219 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 45.

The spelling of 2740545104544 in words is "two trillion, seven hundred forty billion, five hundred forty-five million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 731983201 1463966402 2195949603 2927932804 4391899206 5855865608 6587848809 8783798412 9515781613 11711731216 13175697618 17567596824 19031563226 23423462432 26351395236 28547344839 35135193648 38063126452 52702790472 57094689678 70270387296 76126252904 85642034517 105405580944 114189379356 152252505808 171284069034 210811161888 228378758712 304505011616 342568138068 456757517424 685136276136 913515034848 1370272552272 2740545104544