Search a number
-
+
3133133436 = 2232919346649
BaseRepresentation
bin1011101010111111…
…1101001001111100
322002100112200002010
42322233331021330
522404040232221
61234521531220
7140433123546
oct27257751174
98070480063
103133133436
111368632584
12735343b10
133ac159314
1421a180696
151350e0c76
hexbabfd27c

3133133436 has 48 divisors (see below), whose sum is σ = 7602084000. Its totient is φ = 1003118592.

The previous prime is 3133133431. The next prime is 3133133453. The reversal of 3133133436 is 6343313313.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133133431) 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, 43840 + ... + 90488.

It is an arithmetic number, because the mean of its divisors is an integer number (158376750).

Almost surely, 23133133436 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 3133133436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801042000).

3133133436 is an abundant number, since it is smaller than the sum of its proper divisors (4468950564).

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

3133133436 is a wasteful number, since it uses less digits than its factorization.

3133133436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46878 (or 46876 counting only the distinct ones).

The product of its digits is 17496, while the sum is 30.

The square root of 3133133436 is about 55974.3998270638. The cubic root of 3133133436 is about 1463.2761602095.

Adding to 3133133436 its reverse (6343313313), we get a palindrome (9476446749).

The spelling of 3133133436 in words is "three billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 193 348 386 579 772 1158 2316 5597 11194 16791 22388 33582 46649 67164 93298 139947 186596 279894 559788 1352821 2705642 4058463 5411284 8116926 9003257 16233852 18006514 27009771 36013028 54019542 108039084 261094453 522188906 783283359 1044377812 1566566718 3133133436