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12220746540 = 22351061191969
BaseRepresentation
bin10110110000110100…
…11100101100101100
31011112200111020200020
423120122130230230
5200012002342130
65340353002140
7611561426442
oct133032345454
934480436606
1012220746540
115201324832
122450853350
1311c9b03c92
1483d080b92
154b7d26e10
hex2d869cb2c

12220746540 has 48 divisors (see below), whose sum is σ = 34250519520. Its totient is φ = 3255777280.

The previous prime is 12220746529. The next prime is 12220746617. The reversal of 12220746540 is 4564702221.

12220746540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 32325 + ... + 159644.

It is an arithmetic number, because the mean of its divisors is an integer number (713552490).

Almost surely, 212220746540 is an apocalyptic number.

12220746540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220746540 is an abundant number, since it is smaller than the sum of its proper divisors (22029772980).

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

12220746540 is a wasteful number, since it uses less digits than its factorization.

12220746540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193042 (or 193040 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 12220746540 in words is "twelve billion, two hundred twenty million, seven hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1061 2122 3183 4244 5305 6366 10610 12732 15915 21220 31830 63660 191969 383938 575907 767876 959845 1151814 1919690 2303628 2879535 3839380 5759070 11518140 203679109 407358218 611037327 814716436 1018395545 1222074654 2036791090 2444149308 3055186635 4073582180 6110373270 12220746540