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12109682070 = 23254715118959
BaseRepresentation
bin10110100011100101…
…10001010110010110
31011020221111120212100
423101302301112112
5144300034311240
65321344302530
7606042412353
oct132162612626
934227446770
1012109682070
115154666412
12241b611a46
1311acab8265
1482c40d62a
154ad1d8e30
hex2d1cb1596

12109682070 has 96 divisors (see below), whose sum is σ = 32369725440. Its totient is φ = 3139444800.

The previous prime is 12109682021. The next prime is 12109682077. The reversal of 12109682070 is 7028690121.

12109682070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12109682077) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 629251 + ... + 648209.

It is an arithmetic number, because the mean of its divisors is an integer number (337184640).

Almost surely, 212109682070 is an apocalyptic number.

12109682070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12109682070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184862720).

12109682070 is an abundant number, since it is smaller than the sum of its proper divisors (20260043370).

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

12109682070 is a wasteful number, since it uses less digits than its factorization.

12109682070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19170 (or 19167 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12109682070 in words is "twelve billion, one hundred nine million, six hundred eighty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 151 235 282 302 423 453 470 705 755 846 906 1359 1410 1510 2115 2265 2718 4230 4530 6795 7097 13590 14194 18959 21291 35485 37918 42582 56877 63873 70970 94795 106455 113754 127746 170631 189590 212910 284385 319365 341262 568770 638730 853155 891073 1706310 1782146 2673219 2862809 4455365 5346438 5725618 8019657 8588427 8910730 13366095 14314045 16039314 17176854 25765281 26732190 28628090 40098285 42942135 51530562 80196570 85884270 128826405 134552023 257652810 269104046 403656069 672760115 807312138 1210968207 1345520230 2018280345 2421936414 4036560690 6054841035 12109682070