Search a number
-
+
4833138366 = 2327131349839
BaseRepresentation
bin1001000000001001…
…11101011010111110
3110110211101212102200
410200010331122332
534344240411431
62115330532330
7230524666260
oct44004753276
913424355380
104833138366
1120601a9431
12b2a7370a6
135c0407bb4
1433bc67b30
151d4495ee6
hex12013d6be

4833138366 has 96 divisors (see below), whose sum is σ = 12108096000. Its totient is φ = 1364800320.

The previous prime is 4833138313. The next prime is 4833138377. The reversal of 4833138366 is 6638313384.

4833138366 is a `hidden beast` number, since 483 + 3 + 138 + 36 + 6 = 666.

It is a super-2 number, since 2×48331383662 = 46718452929802299912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5760175 + ... + 5761013.

It is an arithmetic number, because the mean of its divisors is an integer number (126126000).

Almost surely, 24833138366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4833138366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054048000).

4833138366 is an abundant number, since it is smaller than the sum of its proper divisors (7274957634).

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

4833138366 is a wasteful number, since it uses less digits than its factorization.

4833138366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1331 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4833138366 is about 69520.7765060201. The cubic root of 4833138366 is about 1690.7383730099.

The spelling of 4833138366 in words is "four billion, eight hundred thirty-three million, one hundred thirty-eight thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 349 393 698 786 839 917 1047 1179 1678 1834 2094 2358 2443 2517 2751 3141 4886 5034 5502 5873 6282 7329 7551 8253 11746 14658 15102 16506 17619 21987 35238 43974 45719 52857 91438 105714 109909 137157 219818 274314 292811 320033 329727 411471 585622 640066 659454 769363 822942 878433 960099 989181 1538726 1756866 1920198 1978362 2049677 2308089 2635299 2880297 4099354 4616178 5270598 5760594 6149031 6924267 12298062 13848534 18447093 36894186 38358241 76716482 115074723 230149446 268507687 345224169 537015374 690448338 805523061 1611046122 2416569183 4833138366