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12074066160 = 2435131573
BaseRepresentation
bin10110011111010101…
…11010000011110000
31011011110111010000120
423033222322003300
5144211430104120
65314033050240
7605130604032
oct131752720360
934143433016
1012074066160
11513654a682
12240b6b6980
1311a55c8060
148277bbc52
154aa001140
hex2cfaba0f0

12074066160 has 160 divisors (see below), whose sum is σ = 40567195200. Its totient is φ = 2953147392.

The previous prime is 12074066119. The next prime is 12074066197. The reversal of 12074066160 is 6166047021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76904802 + ... + 76904958.

It is an arithmetic number, because the mean of its divisors is an integer number (253544970).

Almost surely, 212074066160 is an apocalyptic number.

12074066160 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 12074066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283597600).

12074066160 is an abundant number, since it is smaller than the sum of its proper divisors (28493129040).

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

12074066160 is an frugal number, since it uses more digits than its factorization.

12074066160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 12074066160 in words is "twelve billion, seventy-four million, sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 157 195 208 240 260 312 314 390 471 520 624 628 780 785 942 1040 1256 1560 1570 1884 2041 2355 2512 3120 3140 3768 4082 4710 6123 6280 7536 8164 9420 10205 12246 12560 16328 18840 20410 24492 24649 30615 32656 37680 40820 48984 49298 61230 73947 81640 97968 98596 122460 123245 147894 163280 197192 244920 246490 295788 320437 369735 394384 489840 492980 591576 640874 739470 961311 985960 1183152 1281748 1478940 1602185 1922622 1971920 2563496 2957880 3204370 3845244 3869893 4806555 5126992 5915760 6408740 7690488 7739786 9613110 11609679 12817480 15380976 15479572 19226220 19349465 23219358 25634960 30959144 38452440 38698930 46438716 50308609 58048395 61918288 76904880 77397860 92877432 100617218 116096790 150925827 154795720 185754864 201234436 232193580 251543045 301851654 309591440 402468872 464387160 503086090 603703308 754629135 804937744 928774320 1006172180 1207406616 1509258270 2012344360 2414813232 3018516540 4024688720 6037033080 12074066160