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12414504116 = 22717591672647
BaseRepresentation
bin10111000111111011…
…00100110010110100
31012001012002011002202
423203331210302310
5200411103112431
65411513524032
7616433354360
oct134375446264
935035064082
1012414504116
1152a0733763
1224a5713618
13122acb3b31
1485aaba2a0
154c9d4b8cb
hex2e3f64cb4

12414504116 has 96 divisors (see below), whose sum is σ = 26905374720. Its totient is φ = 4891332096.

The previous prime is 12414504077. The next prime is 12414504119. The reversal of 12414504116 is 61140541421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414504119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4688705 + ... + 4691351.

It is an arithmetic number, because the mean of its divisors is an integer number (280264320).

Almost surely, 212414504116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12414504116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452687360).

12414504116 is an abundant number, since it is smaller than the sum of its proper divisors (14490870604).

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

12414504116 is a wasteful number, since it uses less digits than its factorization.

12414504116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 12414504116 in words is "twelve billion, four hundred fourteen million, five hundred four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 59 68 118 119 167 236 238 334 413 476 668 826 1003 1169 1652 2006 2338 2647 2839 4012 4676 5294 5678 7021 9853 10588 11356 14042 18529 19706 19873 28084 37058 39412 39746 44999 68971 74116 79492 89998 137942 156173 167501 179996 275884 312346 314993 335002 442049 624692 629986 670004 884098 1093211 1172507 1259972 1768196 2186422 2345014 2654941 3094343 4372844 4690028 5309882 6188686 7514833 10619764 12377372 15029666 18584587 26080891 30059332 37169174 52161782 52603831 74338348 104323564 105207662 182566237 210415324 365132474 443375147 730264948 886750294 1773500588 3103626029 6207252058 12414504116