Search a number
-
+
2720285349768 = 233275991481213
BaseRepresentation
bin100111100101011101101…
…001000101011110001000
3100122001112100210210020200
4213211131221011132020
5324032121022143033
65441403135452200
7400351130650020
oct47453551053610
910561470723220
102720285349768
11959737186a58
1237b262087060
131696a254764c
149593bd18a80
154ab62db9013
hex2795da45788

2720285349768 has 96 divisors (see below), whose sum is σ = 8562641630400. Its totient is φ = 764051082624.

The previous prime is 2720285349767. The next prime is 2720285349799. The reversal of 2720285349768 is 8679435820272.

2720285349768 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 2 + 8 + 534 + 97 + 6 + 8 = 666.

2720285349768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2720285349763) 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, 45710871 + ... + 45770342.

It is an arithmetic number, because the mean of its divisors is an integer number (89194183650).

Almost surely, 22720285349768 is an apocalyptic number.

2720285349768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2720285349768 is an abundant number, since it is smaller than the sum of its proper divisors (5842356280632).

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

2720285349768 is a wasteful number, since it uses less digits than its factorization.

2720285349768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91481291 (or 91481284 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2720285349768 in words is "two trillion, seven hundred twenty billion, two hundred eighty-five million, three hundred forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 3304 3717 4248 4956 7434 9912 14868 29736 91481213 182962426 274443639 365924852 548887278 640368491 731849704 823330917 1097774556 1280736982 1646661834 1921105473 2195549112 2561473964 3293323668 3842210946 5122947928 5397391567 5763316419 6586647336 7684421892 10794783134 11526632838 15368843784 16192174701 21589566268 23053265676 32384349402 37781740969 43179132536 46106531352 48576524103 64768698804 75563481938 97153048206 113345222907 129537397608 151126963876 194306096412 226690445814 302253927752 340035668721 388612192824 453380891628 680071337442 906761783256 1360142674884 2720285349768