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12164446277830 = 2572114931457687
BaseRepresentation
bin1011000100000100000101…
…1111111101000011000110
31121001220120011202120100001
42301001001133331003012
53043300241221342310
641512134112311514
72363565214216600
oct261010137750306
947056504676301
1012164446277830
11396aa04885340
12144567454259a
136a3143b73622
14300a95c16170
15161659dd893a
hexb10417fd0c6

12164446277830 has 96 divisors (see below), whose sum is σ = 27792089563392. Its totient is φ = 3790738526400.

The previous prime is 12164446277807. The next prime is 12164446277843. The reversal of 12164446277830 is 3877264446121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26349247 + ... + 26806933.

It is an arithmetic number, because the mean of its divisors is an integer number (289500932952).

Almost surely, 212164446277830 is an apocalyptic number.

12164446277830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12164446277830 is an abundant number, since it is smaller than the sum of its proper divisors (15627643285562).

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

12164446277830 is a wasteful number, since it uses less digits than its factorization.

12164446277830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462650 (or 462643 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 55.

The spelling of 12164446277830 in words is "twelve trillion, one hundred sixty-four billion, four hundred forty-six million, two hundred seventy-seven thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 2695 4931 5390 9862 24655 34517 49310 54241 69034 108482 172585 241619 271205 345170 379687 457687 483238 542410 759374 915374 1208095 1898435 2288435 2416190 2657809 3203809 3796870 4576870 5034557 5315618 6407618 10069114 13289045 16019045 22426663 25172785 26578090 32038090 35241899 44853326 50345570 70483798 112133315 176209495 224266630 246693293 352418990 493386586 1233466465 2256854597 2466932930 4513709194 11284272985 15797982179 22568545970 24825400567 31595964358 49650801134 78989910895 110585875253 124127002835 157979821790 173777803969 221171750506 248254005670 347555607938 552929376265 868889019845 1105858752530 1216444627783 1737778039690 2432889255566 6082223138915 12164446277830