Search a number
-
+
2673216690 = 235438324967
BaseRepresentation
bin1001111101010110…
…0000110010110010
320220022010110220120
42133111200302302
520433320413230
61121132151110
7123146652444
oct23725406262
96808113816
102673216690
111151a632a1
12627308496
13337a99931
141b5060494
15109a44310
hex9f560cb2

2673216690 has 64 divisors (see below), whose sum is σ = 6644284416. Its totient is φ = 687863232.

The previous prime is 2673216683. The next prime is 2673216691. The reversal of 2673216690 is 966123762.

2673216690 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26732166902 = 14292174943389112200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2673216691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94587 + ... + 119553.

It is an arithmetic number, because the mean of its divisors is an integer number (103816944).

Almost surely, 22673216690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2673216690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322142208).

2673216690 is an abundant number, since it is smaller than the sum of its proper divisors (3971067726).

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

2673216690 is a wasteful number, since it uses less digits than its factorization.

2673216690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25103.

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 2673216690 is about 51703.1593812216. The cubic root of 2673216690 is about 1387.8570035008.

The spelling of 2673216690 in words is "two billion, six hundred seventy-three million, two hundred sixteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 83 86 129 166 215 249 258 415 430 498 645 830 1245 1290 2490 3569 7138 10707 17845 21414 24967 35690 49934 53535 74901 107070 124835 149802 249670 374505 749010 1073581 2072261 2147162 3220743 4144522 5367905 6216783 6441486 10361305 10735810 12433566 16103715 20722610 31083915 32207430 62167830 89107223 178214446 267321669 445536115 534643338 891072230 1336608345 2673216690