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12917207350857 = 3172960041145463
BaseRepresentation
bin1011101111111000010110…
…0011100011111001001001
31200201212120101112011211210
42323332011203203321021
53143113420040211412
643250025542443333
72502144303605505
oct273760543437111
950655511464753
1012917207350857
11413017a887017
121547536733549
1372911a0cb1b4
143292a641b305
15176015e3183c
hexbbf858e3e49

12917207350857 has 32 divisors (see below), whose sum is σ = 18865330894080. Its totient is φ = 7825250478080.

The previous prime is 12917207350811. The next prime is 12917207350903. The reversal of 12917207350857 is 75805370271921.

It is an interprime number because it is at equal distance from previous prime (12917207350811) and next prime (12917207350903).

It is a cyclic number.

It is not a de Polignac number, because 12917207350857 - 26 = 12917207350793 is a prime.

It is a super-3 number, since 3×129172073508573 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12917207350797 and 12917207350806.

It is not an unprimeable number, because it can be changed into a prime (12917207350357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88727908 + ... + 88873370.

It is an arithmetic number, because the mean of its divisors is an integer number (589541590440).

Almost surely, 212917207350857 is an apocalyptic number.

12917207350857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12917207350857 is a deficient number, since it is larger than the sum of its proper divisors (5948123543223).

12917207350857 is a wasteful number, since it uses less digits than its factorization.

12917207350857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205553.

The product of its (nonzero) digits is 7408800, while the sum is 57.

The spelling of 12917207350857 in words is "twelve trillion, nine hundred seventeen billion, two hundred seven million, three hundred fifty thousand, eight hundred fifty-seven".

Divisors: 1 3 17 29 51 87 493 1479 60041 145463 180123 436389 1020697 1741189 2472871 3062091 4218427 5223567 7418613 12655281 29600213 71713259 88800639 215139777 8733743983 26201231949 148473647711 253278575507 445420943133 759835726521 4305735783619 12917207350857