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2712896257345 = 5172931103344681
BaseRepresentation
bin100111011110100101001…
…101111011110101000001
3100121100110101220222222221
4213132211031323311001
5323422002420213340
65434142021531041
7400000045465351
oct47364515736501
910540411828887
102712896257345
119565952374aa
1237993b573a81
13168a9574bb01
149543a836b61
154a87e34344a
hex277a537bd41

2712896257345 has 64 divisors (see below), whose sum is σ = 3716609495040. Its totient is φ = 1890059673600.

The previous prime is 2712896257343. The next prime is 2712896257367. The reversal of 2712896257345 is 5437526982172.

It is a happy number.

It is not a de Polignac number, because 2712896257345 - 21 = 2712896257343 is a prime.

It is a super-2 number, since 2×27128962573452 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2712896257343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7698405 + ... + 8043085.

It is an arithmetic number, because the mean of its divisors is an integer number (58072023360).

Almost surely, 22712896257345 is an apocalyptic number.

It is an amenable number.

2712896257345 is a deficient number, since it is larger than the sum of its proper divisors (1003713237695).

2712896257345 is a wasteful number, since it uses less digits than its factorization.

2712896257345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344866.

The product of its digits is 50803200, while the sum is 61.

The spelling of 2712896257345 in words is "two trillion, seven hundred twelve billion, eight hundred ninety-six million, two hundred fifty-seven thousand, three hundred forty-five".

Divisors: 1 5 17 29 31 85 103 145 155 493 515 527 899 1751 2465 2635 2987 3193 4495 8755 14935 15283 15965 50779 54281 76415 92597 253895 271405 344681 462985 1574149 1723405 5859577 7870745 9995749 10685111 29297885 35502143 49978745 53425555 169927733 177510715 181646887 309868219 603536431 849638665 908234435 1029562147 1100566433 1549341095 3017682155 5147810735 5267759723 5502832165 17502556499 18709629361 26338798615 31916426557 87512782495 93548146805 159582132785 542579251469 2712896257345