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12780411353442 = 2333137277744917
BaseRepresentation
bin1011100111111010101111…
…1000001111100101100010
31200020210110211201111101000
42321332223320033211202
53133343240301302232
643103123453452430
72456232336036555
oct271765370174542
950223424644330
1012780411353442
11408816202a4a7
121524b19aa1116
13719259279825
1432280a53a69c
151726ab64e27c
hexb9fabe0f962

12780411353442 has 128 divisors (see below), whose sum is σ = 30218164807680. Its totient is φ = 3996802103040.

The previous prime is 12780411353429. The next prime is 12780411353449. The reversal of 12780411353442 is 24435311408721.

12780411353442 is a `hidden beast` number, since 1 + 2 + 78 + 0 + 4 + 1 + 1 + 3 + 534 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (12780411353449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16784368 + ... + 17529284.

It is an arithmetic number, because the mean of its divisors is an integer number (236079412560).

Almost surely, 212780411353442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12780411353442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109082403840).

12780411353442 is an abundant number, since it is smaller than the sum of its proper divisors (17437753454238).

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

12780411353442 is a wasteful number, since it uses less digits than its factorization.

12780411353442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745273 (or 745267 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12780411353442 in words is "twelve trillion, seven hundred eighty billion, four hundred eleven million, three hundred fifty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 93 111 186 222 277 279 333 554 558 666 831 837 999 1147 1662 1674 1998 2294 2493 3441 4986 6882 7479 8587 10249 10323 14958 17174 20498 20646 25761 30747 30969 51522 61494 61938 77283 92241 154566 184482 231849 276723 317719 463698 553446 635438 744917 953157 1489834 1906314 2234751 2859471 4469502 5718942 6704253 8578413 13408506 17156826 20112759 23092427 27561929 40225518 46184854 55123858 69277281 82685787 138554562 165371574 206342009 207831843 248057361 412684018 415663686 496114722 619026027 623495529 744172083 854419799 1238052054 1246991058 1488344166 1708839598 1857078081 2563259397 3714156162 5126518794 5571234243 6396602279 7634654333 7689778191 11142468486 12793204558 15269308666 15379556382 19189806837 22903962999 23069334573 38379613674 45807925998 46138669146 57569420511 68711888997 115138841022 137423777994 172708261533 206135666991 236674284323 345416523066 412271333982 473348568646 710022852969 1420045705938 2130068558907 4260137117814 6390205676721 12780411353442