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14066572576 = 257234166593
BaseRepresentation
bin11010001100110111…
…01101110100100000
31100022022201220222111
431012123231310200
5212302020310301
610243451245104
71005403615450
oct150633556440
940268656874
1014066572576
115a692391a1
122886a49794
13143234a634
14976285d60
15574dd3551
hex3466edd20

14066572576 has 96 divisors (see below), whose sum is σ = 33831883008. Its totient is φ = 5625692160.

The previous prime is 14066572573. The next prime is 14066572673. The reversal of 14066572576 is 67527566041.

14066572576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14066572573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177936 + ... + 244528.

It is an arithmetic number, because the mean of its divisors is an integer number (352415448).

Almost surely, 214066572576 is an apocalyptic number.

14066572576 is a gapful number since it is divisible by the number (16) 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 14066572576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915941504).

14066572576 is an abundant number, since it is smaller than the sum of its proper divisors (19765310432).

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

14066572576 is a wasteful number, since it uses less digits than its factorization.

14066572576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66674 (or 66666 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 14066572576 in words is "fourteen billion, sixty-six million, five hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 41 46 56 82 92 112 161 164 184 224 287 322 328 368 574 644 656 736 943 1148 1288 1312 1886 2296 2576 3772 4592 5152 6601 7544 9184 13202 15088 26404 30176 52808 66593 105616 133186 211232 266372 466151 532744 932302 1065488 1531639 1864604 2130976 2730313 3063278 3729208 5460626 6126556 7458416 10721473 10921252 12253112 14916832 19112191 21442946 21842504 24506224 38224382 42885892 43685008 49012448 62797199 76448764 85771784 87370016 125594398 152897528 171543568 251188796 305795056 343087136 439580393 502377592 611590112 879160786 1004755184 1758321572 2009510368 3516643144 7033286288 14066572576