Search a number
-
+
12794000703 = 311271661751
BaseRepresentation
bin10111110101001010…
…01111010100111111
31020000122011120112220
423322211033110333
5202200231010303
65513311500423
7632022132411
oct137245172477
936018146486
1012794000703
115475975100
122590827713
13128b7c6b23
148952649b1
154ed310053
hex2fa94f53f

12794000703 has 48 divisors (see below), whose sum is σ = 19068650496. Its totient is φ = 7623000000.

The previous prime is 12794000699. The next prime is 12794000717. The reversal of 12794000703 is 30700049721.

12794000703 is a nontrivial binomial coefficient, being equal to C(159963, 2).

It is not a de Polignac number, because 12794000703 - 22 = 12794000699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12794000203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17035578 + ... + 17036328.

It is an arithmetic number, because the mean of its divisors is an integer number (397263552).

Almost surely, 212794000703 is an apocalyptic number.

12794000703 is the 159962-nd triangular number.

12794000703 is a deficient number, since it is larger than the sum of its proper divisors (6274649793).

12794000703 is a wasteful number, since it uses less digits than its factorization.

12794000703 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 12794000703 in words is "twelve billion, seven hundred ninety-four million, seven hundred three", and thus it is an aban number.

Divisors: 1 3 11 33 71 121 213 363 661 751 781 1983 2253 2343 7271 8261 8591 21813 24783 25773 46931 53321 79981 90871 140793 159963 239943 272613 496411 516241 586531 1489233 1548723 1759593 5460521 5678651 6451841 16381563 17035953 19355523 35245181 60065731 105735543 180197193 387696991 1163090973 4264666901 12794000703