Search a number
-
+
3054665560050 = 23252133741344209
BaseRepresentation
bin101100011100111000010…
…000010110111111110010
3101211000121220011110021100
4230130320100112333302
5400021423340410200
610255143300105230
7433456313564526
oct54347020267762
911730556143240
103054665560050
11a7852708a085
12414021395216
13192091062840
14a7bbd10bd86
15546d39cbd00
hex2c738416ff2

3054665560050 has 288 divisors, whose sum is σ = 9298453142160. Its totient is φ = 713749708800.

The previous prime is 3054665560007. The next prime is 3054665560109. The reversal of 3054665560050 is 500655664503.

3054665560050 is a `hidden beast` number, since 3 + 0 + 5 + 46 + 6 + 556 + 0 + 0 + 50 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1278435001041 + 1776230559009 = 1130679^2 + 1332753^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3054665559978 and 3054665560005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8702346 + ... + 9046554.

Almost surely, 23054665560050 is an apocalyptic number.

3054665560050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3054665560050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649226571080).

3054665560050 is an abundant number, since it is smaller than the sum of its proper divisors (6243787582110).

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

3054665560050 is a wasteful number, since it uses less digits than its factorization.

3054665560050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344318 (or 344310 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 3054665560050 in words is "three trillion, fifty-four billion, six hundred sixty-five million, five hundred sixty thousand, fifty".