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4107343455912 = 2334761910135807
BaseRepresentation
bin111011110001010000101…
…111110110011010101000
3112112122202211100020220110
4323301100233312122220
51014243314411042122
612422515412454320
7602513541221064
oct73612057663250
915478684306813
104107343455912
111343a073368a4
1256404501a3a0
1323a422b15758
14102b217a2aa4
1571c94c5390c
hex3bc50bf66a8

4107343455912 has 128 divisors (see below), whose sum is σ = 10515955507200. Its totient is φ = 1336268828928.

The previous prime is 4107343455907. The next prime is 4107343455931. The reversal of 4107343455912 is 2195543437014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707306113 + ... + 707311919.

It is an arithmetic number, because the mean of its divisors is an integer number (82155902400).

Almost surely, 24107343455912 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 4107343455912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257977753600).

4107343455912 is an abundant number, since it is smaller than the sum of its proper divisors (6408612051288).

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

4107343455912 is a wasteful number, since it uses less digits than its factorization.

4107343455912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 4107343455912 in words is "four trillion, one hundred seven billion, three hundred forty-three million, four hundred fifty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 619 1013 1128 1238 1857 2026 2476 3039 3714 4052 4952 5807 6078 7428 8104 11614 12156 14856 17421 23228 24312 29093 34842 46456 47611 58186 69684 87279 95222 116372 139368 142833 174558 190444 232744 272929 285666 349116 380888 545858 571332 627047 698232 818787 1091716 1142664 1254094 1637574 1881141 2183432 2508188 3275148 3594533 3762282 5016376 5882491 6550296 7189066 7524564 10783599 11764982 14378132 15049128 17647473 21567198 23529964 28756264 29471209 35294946 43134396 47059928 58942418 70589892 86268792 88413627 117884836 141179784 168943051 176827254 235769672 276477077 337886102 353654508 506829153 552954154 675772204 707309016 829431231 1013658306 1105908308 1351544408 1658862462 2027316612 2211816616 3317724924 3641261929 4054633224 6635449848 7282523858 10923785787 14565047716 21847571574 29130095432 43695143148 87390286296 171139310663 342278621326 513417931989 684557242652 1026835863978 1369114485304 2053671727956 4107343455912