Search a number
-
+
2117392785 = 335101155291
BaseRepresentation
bin111111000110100…
…1101100110010001
312110120020200212000
41332031031212101
513314023032120
6550035024213
7103320353544
oct17615154621
95416220760
102117392785
119972385a2
124b113b069
1327989a651
141612d685b
15c5d50990
hex7e34d991

2117392785 has 32 divisors (see below), whose sum is σ = 3801548160. Its totient is φ = 1118088000.

The previous prime is 2117392769. The next prime is 2117392793. The reversal of 2117392785 is 5872937112.

It is not a de Polignac number, because 2117392785 - 24 = 2117392769 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2117392785.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64011 + ... + 91280.

It is an arithmetic number, because the mean of its divisors is an integer number (118798380).

Almost surely, 22117392785 is an apocalyptic number.

It is an amenable number.

2117392785 is a deficient number, since it is larger than the sum of its proper divisors (1684155375).

2117392785 is a wasteful number, since it uses less digits than its factorization.

2117392785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155406 (or 155400 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 2117392785 is about 46015.1364770333. The cubic root of 2117392785 is about 1284.1048204670.

The spelling of 2117392785 in words is "two billion, one hundred seventeen million, three hundred ninety-two thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 101 135 303 505 909 1515 2727 4545 13635 155291 465873 776455 1397619 2329365 4192857 6988095 15684391 20964285 47053173 78421955 141159519 235265865 423478557 705797595 2117392785