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14109866916570 = 232510312323123517
BaseRepresentation
bin1100110101010011010110…
…0110101111101011011010
31211221220000212220120222200
43031110311212233223122
53322134001412312240
650001552224231030
72654255440625505
oct315246546575332
954856025816880
1014109866916570
11454aa63038197
1216ba705a6b476
137b47299c5a59
1436acc7acc13c
1519706b4a8930
hexcd5359afada

14109866916570 has 96 divisors (see below), whose sum is σ = 37045131207552. Its totient is φ = 3725768244096.

The previous prime is 14109866916569. The next prime is 14109866916631. The reversal of 14109866916570 is 7561966890141.

14109866916570 is a `hidden beast` number, since 1 + 41 + 0 + 9 + 8 + 6 + 6 + 9 + 16 + 570 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14109866916498 and 14109866916507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114172452 + ... + 114295968.

It is an arithmetic number, because the mean of its divisors is an integer number (385886783412).

Almost surely, 214109866916570 is an apocalyptic number.

14109866916570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14109866916570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522565603776).

14109866916570 is an abundant number, since it is smaller than the sum of its proper divisors (22935264290982).

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

14109866916570 is a wasteful number, since it uses less digits than its factorization.

14109866916570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135956 (or 135953 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 14109866916570 in words is "fourteen trillion, one hundred nine billion, eight hundred sixty-six million, nine hundred sixteen thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 12323 24646 36969 61615 73938 110907 123230 123517 184845 221814 247034 369690 370551 554535 617585 741102 1109070 1111653 1235170 1269269 1852755 2223306 2538538 3705510 3807807 5558265 6346345 7615614 11116530 11423421 12692690 12722251 19039035 22846842 25444502 38078070 38166753 57117105 63611255 76333506 114234210 114500259 127222510 190833765 229000518 381667530 572501295 1145002590 1522099991 3044199982 4566299973 7610499955 9132599946 13698899919 15220999910 22831499865 27397799838 45662999730 68494499595 136988999190 156776299073 313552598146 470328897219 783881495365 940657794438 1410986691657 1567762990730 2351644486095 2821973383314 4703288972190 7054933458285 14109866916570