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2731811004 = 22321352311161
BaseRepresentation
bin1010001011010100…
…0010000010111100
321001101101101012100
42202311002002330
521043320423004
61131024105100
7124461003366
oct24265020274
97041341170
102731811004
11118204404a
12642a65190
13346c73b20
141bcb53d36
1510ec6a739
hexa2d420bc

2731811004 has 72 divisors (see below), whose sum is σ = 7451483312. Its totient is φ = 838874880.

The previous prime is 2731811003. The next prime is 2731811023. The reversal of 2731811004 is 4001181372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731811003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239184 + ... + 250344.

Almost surely, 22731811004 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 2731811004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725741656).

2731811004 is an abundant number, since it is smaller than the sum of its proper divisors (4719672308).

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

2731811004 is a wasteful number, since it uses less digits than its factorization.

2731811004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11707 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2731811004 is about 52266.7294174793. The cubic root of 2731811004 is about 1397.9239645016.

Adding to 2731811004 its reverse (4001181372), we get a palindrome (6732992376).

The spelling of 2731811004 in words is "two billion, seven hundred thirty-one million, eight hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 523 1046 1569 2092 3138 4707 6276 6799 9414 11161 13598 18828 20397 22322 27196 33483 40794 44644 61191 66966 81588 100449 122382 133932 145093 200898 244764 290186 401796 435279 580372 870558 1305837 1741116 2611674 5223348 5837203 11674406 17511609 23348812 35023218 52534827 70046436 75883639 105069654 151767278 210139308 227650917 303534556 455301834 682952751 910603668 1365905502 2731811004