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12786540351 = 3132373195271
BaseRepresentation
bin10111110100010001…
…10001111100111111
31020000010010112212120
423322020301330333
5202141323242401
65512443534023
7631601541204
oct137210617477
936003115776
1012786540351
11547173a022
12258a22a313
13128a0b4210
14894281cab
154ec839836
hex2fa231f3f

12786540351 has 32 divisors (see below), whose sum is σ = 19420972032. Its totient is φ = 7423384320.

The previous prime is 12786540331. The next prime is 12786540359. The reversal of 12786540351 is 15304568721.

It is a happy number.

It is not a de Polignac number, because 12786540351 - 27 = 12786540223 is a prime.

It is a super-2 number, since 2×127865403512 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12786540359) 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, 32155 + ... + 163116.

It is an arithmetic number, because the mean of its divisors is an integer number (606905376).

Almost surely, 212786540351 is an apocalyptic number.

12786540351 is a deficient number, since it is larger than the sum of its proper divisors (6634431681).

12786540351 is a wasteful number, since it uses less digits than its factorization.

12786540351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195383.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 12786540351 in words is "twelve billion, seven hundred eighty-six million, five hundred forty thousand, three hundred fifty-one".

Divisors: 1 3 13 23 39 69 73 219 299 897 949 1679 2847 5037 21827 65481 195271 585813 2538523 4491233 7615569 13473699 14254783 42764349 58386029 175158087 185312179 327860009 555936537 983580027 4262180117 12786540351