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14013608784 = 2437216973511
BaseRepresentation
bin11010000110100011…
…01011001101010000
31100011122002002022120
431003101223031100
5212144440440114
610234320134240
71004161465200
oct150321531520
940148062276
1014013608784
115a4135376a
122871167380
131424395206
1496d21a400
155704205a9
hex34346b350

14013608784 has 120 divisors (see below), whose sum is σ = 42149141568. Its totient is φ = 4000389120.

The previous prime is 14013608761. The next prime is 14013608801. The reversal of 14013608784 is 48780631041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3989589 + ... + 3993099.

Almost surely, 214013608784 is an apocalyptic number.

14013608784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013608784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074570784).

14013608784 is an abundant number, since it is smaller than the sum of its proper divisors (28135532784).

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

14013608784 is a wasteful number, since it uses less digits than its factorization.

14013608784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 14013608784 in words is "fourteen billion, thirteen million, six hundred eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1697 2352 3394 3511 5091 6788 7022 10182 10533 11879 13576 14044 20364 21066 23758 24577 27152 28088 35637 40728 42132 47516 49154 56176 71274 73731 81456 83153 84264 95032 98308 142548 147462 166306 168528 172039 190064 196616 249459 285096 294924 332612 344078 393232 498918 516117 570192 589848 665224 688156 997836 1032234 1179696 1330448 1376312 1995672 2064468 2752624 3991344 4128936 5958167 8257872 11916334 17874501 23832668 35749002 41707169 47665336 71498004 83414338 95330672 125121507 142996008 166828676 250243014 285992016 291950183 333657352 500486028 583900366 667314704 875850549 1000972056 1167800732 1751701098 2001944112 2335601464 3503402196 4671202928 7006804392 14013608784