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1663165465416 = 2332713253840883
BaseRepresentation
bin11000001100111100011…
…000110000001101001000
312212222220212020120221100
4120030330120300031020
5204222130324343131
63312014143541400
7231105535125630
oct30147430601510
95788825216840
101663165465416
11591387601574
1222a3ba8ba860
13c0ab341ca90
145a6d77396c0
152d3e1bb27e6
hex1833c630348

1663165465416 has 96 divisors (see below), whose sum is σ = 5543884906560. Its totient is φ = 438637044096.

The previous prime is 1663165465363. The next prime is 1663165465417. The reversal of 1663165465416 is 6145645613661.

1663165465416 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 165 + 4 + 65 + 416 = 666.

It is a super-3 number, since 3×16631654654163 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1663165465417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126913890 + ... + 126926993.

It is an arithmetic number, because the mean of its divisors is an integer number (57748801110).

Almost surely, 21663165465416 is an apocalyptic number.

It is an amenable number.

1663165465416 is an abundant number, since it is smaller than the sum of its proper divisors (3880719441144).

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

1663165465416 is a wasteful number, since it uses less digits than its factorization.

1663165465416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253840915 (or 253840908 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 1663165465416 in words is "one trillion, six hundred sixty-three billion, one hundred sixty-five million, four hundred sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 253840883 507681766 761522649 1015363532 1523045298 1776886181 2030727064 2284567947 3046090596 3299931479 3553772362 4569135894 5330658543 6092181192 6599862958 7107544724 9138271788 9899794437 10661317086 13199725916 14215089448 15991975629 18276543576 19799588874 21322634172 23099520353 26399451832 29699383311 31983951258 39599177748 42645268344 46199040706 59398766622 63967902516 69298561059 79198355496 92398081412 118797533244 127935805032 138597122118 184796162824 207895683177 237595066488 277194244236 415791366354 554388488472 831582732708 1663165465416