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12221846992 = 241722643133
BaseRepresentation
bin10110110000111101…
…01001010111010000
31011112202120011012201
423120132221113100
5200012243100432
65340432332544
7611603661655
oct133036512720
934482504181
1012221846992
115201a065a3
1224510a4154
1311ca0cab34
1483d289c2c
154b7e92ee7
hex2d87a95d0

12221846992 has 30 divisors (see below), whose sum is σ = 25154706278. Its totient is φ = 5751455232.

The previous prime is 12221846981. The next prime is 12221847013. The reversal of 12221846992 is 29964812221.

12221846992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7613609536 + 4608237456 = 87256^2 + 67884^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 1316943 + ... + 1326190.

Almost surely, 212221846992 is an apocalyptic number.

It is an amenable number.

12221846992 is an abundant number, since it is smaller than the sum of its proper divisors (12932859286).

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

12221846992 is a wasteful number, since it uses less digits than its factorization.

12221846992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643175 (or 2643152 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The spelling of 12221846992 in words is "twelve billion, two hundred twenty-one million, eight hundred forty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 2643133 5286266 10572532 21145064 42290128 44933261 89866522 179733044 359466088 718932176 763865437 1527730874 3055461748 6110923496 12221846992