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2083273116 = 2232329436053
BaseRepresentation
bin111110000101100…
…0011100110011100
312101012001020110120
41330023003212130
513231304214431
6542415434540
7102424346361
oct17413034634
95335036416
102083273116
11979a53a21
124a1825a50
132727b24b2
1415a974468
15c2d61196
hex7c2c399c

2083273116 has 96 divisors (see below), whose sum is σ = 5370140160. Its totient is φ = 626309376.

The previous prime is 2083273111. The next prime is 2083273121. The reversal of 2083273116 is 6113723802.

It is an interprime number because it is at equal distance from previous prime (2083273111) and next prime (2083273121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083273111) 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, 341146 + ... + 347198.

It is an arithmetic number, because the mean of its divisors is an integer number (55938960).

Almost surely, 22083273116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083273116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685070080).

2083273116 is an abundant number, since it is smaller than the sum of its proper divisors (3286867044).

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

2083273116 is a wasteful number, since it uses less digits than its factorization.

2083273116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2083273116 is about 45642.8868061607. The cubic root of 2083273116 is about 1277.1700818412.

Adding to 2083273116 its reverse (6113723802), we get a palindrome (8196996918).

The spelling of 2083273116 in words is "two billion, eighty-three million, two hundred seventy-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 29 43 46 58 69 86 87 92 116 129 138 172 174 258 276 348 516 667 989 1247 1334 1978 2001 2494 2668 2967 3741 3956 4002 4988 5934 6053 7482 8004 11868 12106 14964 18159 24212 28681 36318 57362 72636 86043 114724 139219 172086 175537 260279 278438 344172 351074 417657 520558 526611 556876 702148 780837 835314 1041116 1053222 1561674 1670628 2106444 3123348 4037351 5986417 7548091 8074702 11972834 12112053 15096182 16149404 17959251 22644273 23945668 24224106 30192364 35918502 45288546 48448212 71837004 90577092 173606093 347212186 520818279 694424372 1041636558 2083273116