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12469555920 = 2435537912409
BaseRepresentation
bin10111001110011111…
…00101001011010000
31012012000200001222110
423213033211023100
5201014201242140
65421201505320
7621002322303
oct134717451320
935160601873
1012469555920
115319814a18
122500042240
13123951a773
1486412ab3a
154ceac3380
hex2e73e52d0

12469555920 has 160 divisors (see below), whose sum is σ = 39886732800. Its totient is φ = 3220918272.

The previous prime is 12469555919. The next prime is 12469555927. The reversal of 12469555920 is 2955596421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12469555920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12469555927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998676 + ... + 1011084.

It is an arithmetic number, because the mean of its divisors is an integer number (249292080).

Almost surely, 212469555920 is an apocalyptic number.

12469555920 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 12469555920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943366400).

12469555920 is an abundant number, since it is smaller than the sum of its proper divisors (27417176880).

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

12469555920 is a wasteful number, since it uses less digits than its factorization.

12469555920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12557 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 12469555920 in words is "twelve billion, four hundred sixty-nine million, five hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 79 80 106 120 158 159 212 237 240 265 316 318 395 424 474 530 632 636 790 795 848 948 1060 1185 1264 1272 1580 1590 1896 2120 2370 2544 3160 3180 3792 4187 4240 4740 6320 6360 8374 9480 12409 12561 12720 16748 18960 20935 24818 25122 33496 37227 41870 49636 50244 62045 62805 66992 74454 83740 99272 100488 124090 125610 148908 167480 186135 198544 200976 248180 251220 297816 334960 372270 496360 502440 595632 657677 744540 980311 992720 1004880 1315354 1489080 1960622 1973031 2630708 2940933 2978160 3288385 3921244 3946062 4901555 5261416 5881866 6576770 7842488 7892124 9803110 9865155 10522832 11763732 13153540 14704665 15684976 15784248 19606220 19730310 23527464 26307080 29409330 31568496 39212440 39460620 47054928 51956483 52614160 58818660 78424880 78921240 103912966 117637320 155869449 157842480 207825932 235274640 259782415 311738898 415651864 519564830 623477796 779347245 831303728 1039129660 1246955592 1558694490 2078259320 2493911184 3117388980 4156518640 6234777960 12469555920