Search a number
-
+
2009607988716 = 2233103180655159
BaseRepresentation
bin11101001111100101111…
…110000110010111101100
321010010011000222020201000
4131033211332012113230
5230411134121114331
64135111241320300
7265121650026666
oct35174576062754
97103130866630
102009607988716
117052a7356a29
12285585796090
13117674c794b3
146d3a092b536
153741b7540e6
hex1d3e5f865ec

2009607988716 has 48 divisors (see below), whose sum is σ = 5260678259200. Its totient is φ = 663365740176.

The previous prime is 2009607988711. The next prime is 2009607988831. The reversal of 2009607988716 is 6178897069002.

2009607988716 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 607 + 9 + 8 + 8 + 7 + 16 = 666.

It is a super-2 number, since 2×20096079887162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2009607988711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90316456 + ... + 90338703.

Almost surely, 22009607988716 is an apocalyptic number.

It is an amenable number.

2009607988716 is an abundant number, since it is smaller than the sum of its proper divisors (3251070270484).

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

2009607988716 is a wasteful number, since it uses less digits than its factorization.

2009607988716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180655275 (or 180655267 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 2009607988716 in words is "two trillion, nine billion, six hundred seven million, nine hundred eighty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124 180655159 361310318 541965477 722620636 1083930954 1625896431 2167861908 3251792862 4877689293 6503585724 9755378586 18607481377 19510757172 37214962754 55822444131 74429925508 111644888262 167467332393 223289776524 334934664786 502401997179 669869329572 1004803994358 2009607988716