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13465664016 = 2437149268969
BaseRepresentation
bin11001000101001110…
…11011101000010000
31021202110000121101220
430202213123220100
5210034202222031
610104103525040
7654456153450
oct144247335020
937673017356
1013465664016
11579001a752
122739759780
1313679c433c
1491a543d60
1553c286596
hex3229dba10

13465664016 has 80 divisors (see below), whose sum is σ = 40022736000. Its totient is φ = 3821497344.

The previous prime is 13465663999. The next prime is 13465664027. The reversal of 13465664016 is 61046656431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84421 + ... + 184548.

It is an arithmetic number, because the mean of its divisors is an integer number (500284200).

Almost surely, 213465664016 is an apocalyptic number.

13465664016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13465664016 is an abundant number, since it is smaller than the sum of its proper divisors (26557071984).

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

13465664016 is a wasteful number, since it uses less digits than its factorization.

13465664016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269136 (or 269130 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 13465664016 in words is "thirteen billion, four hundred sixty-five million, six hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 149 168 298 336 447 596 894 1043 1192 1788 2086 2384 3129 3576 4172 6258 7152 8344 12516 16688 25032 50064 268969 537938 806907 1075876 1613814 1882783 2151752 3227628 3765566 4303504 5648349 6455256 7531132 11296698 12910512 15062264 22593396 30124528 40076381 45186792 80152762 90373584 120229143 160305524 240458286 280534667 320611048 480916572 561069334 641222096 841604001 961833144 1122138668 1683208002 1923666288 2244277336 3366416004 4488554672 6732832008 13465664016