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3077438673169 = 7273234332
BaseRepresentation
bin101100110010000101101…
…000111001000100010001
3101220012101222210110120101
4230302011220321010101
5400410043300020134
610313431131012401
7435223541055400
oct54620550710421
911805358713511
103077438673169
11a871529a2023
12418517b9a101
131942801126c3
14a8d3d819637
15550b7e20e14
hex2cc85a39111

3077438673169 has 27 divisors (see below), whose sum is σ = 3630646405233. Its totient is φ = 2600912426112.

The previous prime is 3077438673131. The next prime is 3077438673181. The reversal of 3077438673169 is 9613768347703.

The square root of 3077438673169 is 1754263.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33530370769 + 3043908302400 = 183113^2 + 1744680^2 .

It is not a de Polignac number, because 3077438673169 - 213 = 3077438664977 is a prime.

It is a super-2 number, since 2×30774386731692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3077438673169.

It is not an unprimeable number, because it can be changed into a prime (3077438674169) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 896426677 + ... + 896430109.

It is an arithmetic number, because the mean of its divisors is an integer number (134468385379).

Almost surely, 23077438673169 is an apocalyptic number.

3077438673169 is the 1754263-rd square number.

3077438673169 is the 877132-nd centered octagonal number.

It is an amenable number.

3077438673169 is a deficient number, since it is larger than the sum of its proper divisors (553207732064).

3077438673169 is an frugal number, since it uses more digits than its factorization.

3077438673169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 64.

Multiplying 3077438673169 by its sum of digits (64), we get a square (196956075082816 = 140341042).

The spelling of 3077438673169 in words is "three trillion, seventy-seven billion, four hundred thirty-eight million, six hundred seventy-three thousand, one hundred sixty-nine".

Divisors: 1 7 49 73 511 3433 3577 5329 24031 37303 168217 250609 261121 1754263 11785489 12279841 18294457 82498423 128061199 577488961 860340697 896428393 6022384879 42156694153 62804870881 439634096167 3077438673169