Search a number
-
+
2083629361 = 111761718059
BaseRepresentation
bin111110000110001…
…1010100100110001
312101012201100010211
41330030122210301
513231402114421
6542431224121
7102430362112
oct17414324461
95335640124
102083629361
1197a177640
124a1978041
132728a86a8
1415aa28209
15c2dd19e1
hex7c31a931

2083629361 has 16 divisors (see below), whose sum is σ = 2410793280. Its totient is φ = 1779796480.

The previous prime is 2083629343. The next prime is 2083629367. The reversal of 2083629361 is 1639263802.

It is not a de Polignac number, because 2083629361 - 25 = 2083629329 is a prime.

It is a super-2 number, since 2×20836293612 = 8683022628042536642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2083629367) 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, 106350 + ... + 124408.

It is an arithmetic number, because the mean of its divisors is an integer number (150674580).

Almost surely, 22083629361 is an apocalyptic number.

It is an amenable number.

2083629361 is a deficient number, since it is larger than the sum of its proper divisors (327163919).

2083629361 is a wasteful number, since it uses less digits than its factorization.

2083629361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18704.

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 2083629361 is about 45646.7891641899. The cubic root of 2083629361 is about 1277.2428774691.

The spelling of 2083629361 in words is "two billion, eighty-three million, six hundred twenty-nine thousand, three hundred sixty-one".

Divisors: 1 11 17 187 617 6787 10489 18059 115379 198649 307003 3377033 11142403 122566433 189420851 2083629361