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2260046626446 = 237237132952011
BaseRepresentation
bin100000111000110101010…
…001101011111010001110
322000001120112110012200010
4200320311101223322032
5244012033414021241
64450130122414050
7322166030233650
oct40706521537216
98001515405603
102260046626446
117a15314461a4
12306019061326
13135176b8742b
147b55b6c06d0
153dbc7d14d16
hex20e3546be8e

2260046626446 has 64 divisors (see below), whose sum is σ = 5466343366656. Its totient is φ = 608953144800.

The previous prime is 2260046626427. The next prime is 2260046626463. The reversal of 2260046626446 is 6446266400622.

2260046626446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 2260046626395 and 2260046626404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16407420 + ... + 16544591.

It is an arithmetic number, because the mean of its divisors is an integer number (85411615104).

Almost surely, 22260046626446 is an apocalyptic number.

2260046626446 is an abundant number, since it is smaller than the sum of its proper divisors (3206296740210).

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

2260046626446 is a wasteful number, since it uses less digits than its factorization.

2260046626446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32952117.

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 2260046626446 in words is "two trillion, two hundred sixty billion, forty-six million, six hundred twenty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 71 138 142 161 213 322 426 483 497 966 994 1491 1633 2982 3266 4899 9798 11431 22862 34293 68586 32952011 65904022 98856033 197712066 230664077 461328154 691992231 757896253 1383984462 1515792506 2273688759 2339592781 4547377518 4679185562 5305273771 7018778343 10610547542 14037556686 15915821313 16377149467 31831642626 32754298934 49131448401 53810633963 98262896802 107621267926 161431901889 322863803778 376674437741 753348875482 1130023313223 2260046626446