Search a number
-
+
12256515145220 = 2255328141148577
BaseRepresentation
bin1011001001011011000100…
…1110110011111000000100
31121101201012121120121222112
42302112301032303320010
53101302320334121340
642022322035520152
72403334604533523
oct262266116637004
947351177517875
1012256515145220
1139a5a60300095
12145b48a159058
136aba274a3098
1430530b7b84ba
15163c47bcd065
hexb25b13b3e04

12256515145220 has 48 divisors (see below), whose sum is σ = 26317642922928. Its totient is φ = 4792986132480.

The previous prime is 12256515145211. The next prime is 12256515145271. The reversal of 12256515145220 is 2254151565221.

It can be written as a sum of positive squares in 8 ways, for example, as 1464869661124 + 10791645484096 = 1210318^2 + 3285064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20276429 + ... + 20872148.

It is an arithmetic number, because the mean of its divisors is an integer number (548284227561).

Almost surely, 212256515145220 is an apocalyptic number.

12256515145220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12256515145220 is an abundant number, since it is smaller than the sum of its proper divisors (14061127777708).

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

12256515145220 is a wasteful number, since it uses less digits than its factorization.

12256515145220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41148920 (or 41148918 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 12256515145220 in words is "twelve trillion, two hundred fifty-six billion, five hundred fifteen million, one hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 281 530 562 1060 1124 1405 2810 5620 14893 29786 59572 74465 148930 297860 41148577 82297154 164594308 205742885 411485770 822971540 2180874581 4361749162 8723498324 10904372905 11562750137 21808745810 23125500274 43617491620 46251000548 57813750685 115627501370 231255002740 612825757261 1225651514522 2451303029044 3064128786305 6128257572610 12256515145220