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14827379670 = 234531738089
BaseRepresentation
bin11011100111100011…
…11101101111010110
31102021100022221010000
431303301331233112
5220331302122140
610451150112130
71033302435105
oct156361755726
942240287100
1014827379670
11631973a894
122a597ab646
131523b5a14c
14a0932c03c
155bbab7a30
hex373c7dbd6

14827379670 has 160 divisors (see below), whose sum is σ = 41724207360. Its totient is φ = 3773537280.

The previous prime is 14827379659. The next prime is 14827379689. The reversal of 14827379670 is 7697372841.

14827379670 is a `hidden beast` number, since 1 + 482 + 7 + 3 + 7 + 96 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1828986 + ... + 1837074.

It is an arithmetic number, because the mean of its divisors is an integer number (260776296).

Almost surely, 214827379670 is an apocalyptic number.

14827379670 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 14827379670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20862103680).

14827379670 is an abundant number, since it is smaller than the sum of its proper divisors (26896827690).

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

14827379670 is a wasteful number, since it uses less digits than its factorization.

14827379670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 14827379670 in words is "fourteen billion, eight hundred twenty-seven million, three hundred seventy-nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 73 81 90 93 135 146 155 162 186 219 270 279 310 365 405 438 465 558 657 730 810 837 930 1095 1314 1395 1674 1971 2190 2263 2511 2790 3285 3942 4185 4526 5022 5913 6570 6789 8089 8370 9855 11315 11826 12555 13578 16178 19710 20367 22630 24267 25110 29565 33945 40445 40734 48534 59130 61101 67890 72801 80890 101835 121335 122202 145602 183303 203670 218403 242670 250759 305505 364005 366606 436806 501518 590497 611010 655209 728010 752277 916515 1092015 1180994 1253795 1310418 1504554 1771491 1833030 2184030 2256831 2507590 2952485 3276045 3542982 3761385 4513662 5314473 5904970 6552090 6770493 7522770 8857455 10628946 11284155 13540986 15943419 17714910 18305407 20311479 22568310 26572365 31886838 33852465 36610814 40622958 47830257 53144730 54916221 67704930 79717095 91527035 95660514 101557395 109832442 159434190 164748663 183054070 203114790 239151285 274581105 329497326 478302570 494245989 549162210 823743315 988491978 1482737967 1647486630 2471229945 2965475934 4942459890 7413689835 14827379670