Search a number
-
+
2731713236304 = 243134491797463
BaseRepresentation
bin100111110000000110110…
…011000000110101010000
3100200011000210101120110120
4213300012303000311100
5324224022042030204
65450533131030240
7401234254251333
oct47600663006520
910604023346416
102731713236304
119635709a7288
1238151129b380
1316a7a3cc85a0
149630396c61a
154b0d12c96d9
hex27c06cc0d50

2731713236304 has 80 divisors (see below), whose sum is σ = 7600013484672. Its totient is φ = 840499812864.

The previous prime is 2731713236299. The next prime is 2731713236311. The reversal of 2731713236304 is 4036323171372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27979477 + ... + 28076939.

Almost surely, 22731713236304 is an apocalyptic number.

2731713236304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2731713236304 is an abundant number, since it is smaller than the sum of its proper divisors (4868300248368).

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

2731713236304 is a wasteful number, since it uses less digits than its factorization.

2731713236304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142404 (or 142398 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 2731713236304 in words is "two trillion, seven hundred thirty-one billion, seven hundred thirteen million, two hundred thirty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 44917 89834 97463 134751 179668 194926 269502 292389 359336 389852 539004 583921 584778 718672 779704 1078008 1167842 1169556 1267019 1559408 1751763 2156016 2335684 2339112 2534038 3503526 3801057 4671368 4678224 5068076 7007052 7602114 9342736 10136152 14014104 15204228 20272304 28028208 30408456 60816912 4377745571 8755491142 13133236713 17510982284 26266473426 35021964568 52532946852 56910692423 70043929136 105065893704 113821384846 170732077269 210131787408 227642769692 341464154538 455285539384 682928309076 910571078768 1365856618152 2731713236304