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12946270461 = 347790111621
BaseRepresentation
bin11000000111010100…
…00110100011111101
31020102020200200101120
430003222012203331
5203003221123321
65540351301153
7635551324515
oct140352064375
936366620346
1012946270461
115543917683
12261381a7b9
1312b420bb87
148ab580845
1550b88bec6
hex303a868fd

12946270461 has 16 divisors (see below), whose sum is σ = 17632712448. Its totient is φ = 8445416000.

The previous prime is 12946270453. The next prime is 12946270471. The reversal of 12946270461 is 16407264921.

12946270461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12946270461 - 23 = 12946270453 is a prime.

It is a super-2 number, since 2×129462704612 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12946270471) 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 15 ways as a sum of consecutive naturals, for example, 1108231 + ... + 1119851.

It is an arithmetic number, because the mean of its divisors is an integer number (1102044528).

Almost surely, 212946270461 is an apocalyptic number.

It is an amenable number.

12946270461 is a deficient number, since it is larger than the sum of its proper divisors (4686441987).

12946270461 is a wasteful number, since it uses less digits than its factorization.

12946270461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19572.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12946270461 in words is "twelve billion, nine hundred forty-six million, two hundred seventy thousand, four hundred sixty-one".

Divisors: 1 3 47 141 7901 11621 23703 34863 371347 546187 1114041 1638561 91817521 275452563 4315423487 12946270461