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12340498160 = 245417351539
BaseRepresentation
bin10110111111000110…
…10000111011110000
31011212000211021000102
423133203100323300
5200233131420120
65400311411532
7614544334514
oct133743207360
934760737012
1012340498160
115262986a11
122484983ba8
131218871b23
14850d34144
154c35cdd75
hex2df8d0ef0

12340498160 has 80 divisors (see below), whose sum is σ = 29794655520. Its totient is φ = 4749742080.

The previous prime is 12340498141. The next prime is 12340498241. The reversal of 12340498160 is 6189404321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 213671 + ... + 265209.

It is an arithmetic number, because the mean of its divisors is an integer number (372433194).

Almost surely, 212340498160 is an apocalyptic number.

12340498160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340498160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897327760).

12340498160 is an abundant number, since it is smaller than the sum of its proper divisors (17454157360).

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

12340498160 is a wasteful number, since it uses less digits than its factorization.

12340498160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51666 (or 51660 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 12340498160 in words is "twelve billion, three hundred forty million, four hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 73 80 82 146 164 205 292 328 365 410 584 656 730 820 1168 1460 1640 2920 2993 3280 5840 5986 11972 14965 23944 29930 47888 51539 59860 103078 119720 206156 239440 257695 412312 515390 824624 1030780 2061560 2113099 3762347 4123120 4226198 7524694 8452396 10565495 15049388 16904792 18811735 21130990 30098776 33809584 37623470 42261980 60197552 75246940 84523960 150493880 154256227 169047920 300987760 308512454 617024908 771281135 1234049816 1542562270 2468099632 3085124540 6170249080 12340498160