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126941287716 = 22323526146881
BaseRepresentation
bin111011000111001001…
…0100101010100100100
3110010122202102120011200
41312032102211110210
54034433432201331
6134152132202500
712112503066555
oct1661622452444
9403582376150
10126941287716
1149921058341
1220728469430
13bc802a44c9
14620317c32c
15347e5735e6
hex1d8e4a5524

126941287716 has 18 divisors (see below), whose sum is σ = 320879366262. Its totient is φ = 42313762560.

The previous prime is 126941287703. The next prime is 126941287717. The reversal of 126941287716 is 617782149621.

It can be written as a sum of positive squares in only one way, i.e., 88151985216 + 38789302500 = 296904^2 + 196950^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1269412877162 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (126941287717) 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 5 ways as a sum of consecutive naturals, for example, 1763073405 + ... + 1763073476.

It is an arithmetic number, because the mean of its divisors is an integer number (17826631459).

Almost surely, 2126941287716 is an apocalyptic number.

It is an amenable number.

126941287716 is an abundant number, since it is smaller than the sum of its proper divisors (193938078546).

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

126941287716 is a wasteful number, since it uses less digits than its factorization.

126941287716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526146891 (or 3526146886 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

It can be divided in two parts, 1269412 and 87716, that added together give a triangular number (1357128 = T1647).

The spelling of 126941287716 in words is "one hundred twenty-six billion, nine hundred forty-one million, two hundred eighty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3526146881 7052293762 10578440643 14104587524 21156881286 31735321929 42313762572 63470643858 126941287716