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12007843380 = 2234513570173
BaseRepresentation
bin10110010111011100…
…10010011000110100
31010222211212122110000
423023232102120310
5144043001442010
65303305431300
7603364661511
oct131356223064
933884778400
1012007843380
115102129505
1223b149b530
13119497c890
1481caa0308
154a42be7c0
hex2cbb92634

12007843380 has 120 divisors (see below), whose sum is σ = 40566739752. Its totient is φ = 2955771648.

The previous prime is 12007843357. The next prime is 12007843391. The reversal of 12007843380 is 8334870021.

12007843380 is a `hidden beast` number, since 1 + 200 + 78 + 4 + 3 + 380 = 666.

12007843380 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 4 ways, for example, as 74028816 + 11933814564 = 8604^2 + 109242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 264027 + ... + 306146.

Almost surely, 212007843380 is an apocalyptic number.

12007843380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12007843380 is an abundant number, since it is smaller than the sum of its proper divisors (28558896372).

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

12007843380 is a wasteful number, since it uses less digits than its factorization.

12007843380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570207 (or 570196 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12007843380 in words is "twelve billion, seven million, eight hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 570173 1140346 1710519 2280692 2850865 3421038 5131557 5701730 6842076 7412249 8552595 10263114 11403460 14824498 15394671 17105190 20526228 22236747 25657785 29648996 30789342 34210380 37061245 44473494 46184013 51315570 61578684 66710241 74122490 76973355 88946988 92368026 102631140 111183735 133420482 148244980 153946710 184736052 200130723 222367470 230920065 266840964 307893420 333551205 400261446 444734940 461840130 600392169 667102410 800522892 923680260 1000653615 1200784338 1334204820 2001307230 2401568676 3001960845 4002614460 6003921690 12007843380