Base | Representation |
---|---|
bin | 100000101100101010001… |
… | …010000111011110110001 |
3 | 21221210211120020111010221 |
4 | 200230222022013132301 |
5 | 243303301122102321 |
6 | 4440125100253041 |
7 | 321224065663414 |
oct | 40545212073661 |
9 | 7853746214127 |
10 | 2246975190961 |
11 | 796a33a0a256 |
12 | 30358b541181 |
13 | 133b72a63717 |
14 | 7aa7b67bb7b |
15 | 3d6b04a1e41 |
hex | 20b2a2877b1 |
2246975190961 has 16 divisors (see below), whose sum is σ = 2385155451600. Its totient is φ = 2109464985600.
The previous prime is 2246975190949. The next prime is 2246975190979. The reversal of 2246975190961 is 1690915796422.
It can be written as a sum of positive squares in 8 ways, for example, as 37349427600 + 2209625763361 = 193260^2 + 1486481^2 .
It is a cyclic number.
It is not a de Polignac number, because 2246975190961 - 213 = 2246975182769 is a prime.
It is a super-2 number, since 2×22469751909612 (a number of 26 digits) contains 22 as substring.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 2246975190961.
It is not an unprimeable number, because it can be changed into a prime (2246975191961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26803411 + ... + 26887111.
It is an arithmetic number, because the mean of its divisors is an integer number (149072215725).
Almost surely, 22246975190961 is an apocalyptic number.
It is an amenable number.
2246975190961 is a deficient number, since it is larger than the sum of its proper divisors (138180260639).
2246975190961 is a wasteful number, since it uses less digits than its factorization.
2246975190961 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87684.
The product of its (nonzero) digits is 14696640, while the sum is 61.
The spelling of 2246975190961 in words is "two trillion, two hundred forty-six billion, nine hundred seventy-five million, one hundred ninety thousand, nine hundred sixty-one".
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