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12344566920 = 2335747312679
BaseRepresentation
bin10110111111100101…
…10010010010001000
31011212022110222022020
423133302302102020
5200240202120140
65400534524440
7614624042010
oct133762622210
934768428266
1012344566920
115265205924
122486206720
131219667a8a
148516b2c40
154c3b346d0
hex2dfcb2488

12344566920 has 128 divisors (see below), whose sum is σ = 43224883200. Its totient is φ = 2761572096.

The previous prime is 12344566901. The next prime is 12344566937. The reversal of 12344566920 is 2966544321.

12344566920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 116860 + ... + 195819.

It is an arithmetic number, because the mean of its divisors is an integer number (337694400).

Almost surely, 212344566920 is an apocalyptic number.

12344566920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344566920 is an abundant number, since it is smaller than the sum of its proper divisors (30880316280).

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

12344566920 is a wasteful number, since it uses less digits than its factorization.

12344566920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312747 (or 312743 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 12344566920 in words is "twelve billion, three hundred forty-four million, five hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 312679 625358 938037 1250716 1563395 1876074 2188753 2501432 3126790 3752148 4377506 4690185 6253580 6566259 7504296 8755012 9380370 10943765 12507160 13132518 14695913 17510024 18760740 21887530 26265036 29391826 32831295 37521480 43775060 44087739 52530072 58783652 65662590 73479565 87550120 88175478 102871391 117567304 131325180 146959130 176350956 205742782 220438695 262650360 293918260 308614173 352701912 411485564 440877390 514356955 587836520 617228346 822971128 881754780 1028713910 1234456692 1543070865 1763509560 2057427820 2468913384 3086141730 4114855640 6172283460 12344566920