Search a number
-
+
4779923022 = 2337831311163
BaseRepresentation
bin1000111001110011…
…11101011001001110
3110100010021020201000
410130321331121032
534242130014042
62110150201130
7226310450430
oct43471753116
913303236630
104779923022
112033161a06
12b149531a6
135b2395124
14334b74650
151ce98374c
hex11ce7d64e

4779923022 has 128 divisors (see below), whose sum is σ = 12390174720. Its totient is φ = 1337787360.

The previous prime is 4779923017. The next prime is 4779923023. The reversal of 4779923022 is 2203299774.

It is a super-2 number, since 2×47799230222 = 45695328192491224968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4779923023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4109413 + ... + 4110575.

It is an arithmetic number, because the mean of its divisors is an integer number (96798240).

Almost surely, 24779923022 is an apocalyptic number.

4779923022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4779923022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195087360).

4779923022 is an abundant number, since it is smaller than the sum of its proper divisors (7610251698).

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

4779923022 is a wasteful number, since it uses less digits than its factorization.

4779923022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4779923022 is about 69136.9873656641. The cubic root of 4779923022 is about 1684.5101579004.

The spelling of 4779923022 in words is "four billion, seven hundred seventy-nine million, nine hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 131 166 189 249 262 378 393 498 581 747 786 917 1162 1163 1179 1494 1743 1834 2241 2326 2358 2751 3486 3489 3537 4482 5229 5502 6978 7074 8141 8253 10458 10467 10873 15687 16282 16506 20934 21746 24423 24759 31374 31401 32619 48846 49518 62802 65238 73269 76111 96529 97857 146538 152222 152353 193058 195714 219807 228333 289587 293571 304706 439614 456666 457059 579174 587142 675703 684999 868761 914118 1066471 1351406 1369998 1371177 1737522 2027109 2054997 2132942 2606283 2742354 3199413 4054218 4109994 4113531 5212566 6081327 6398826 8227062 9598239 12162654 12645299 18243981 19196478 25290598 28794717 36487962 37935897 57589434 75871794 88517093 113807691 177034186 227615382 265551279 341423073 531102558 682846146 796653837 1593307674 2389961511 4779923022