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2813949684 = 22327131750527
BaseRepresentation
bin1010011110111001…
…0111011011110100
321021002221110021200
42213232113123310
521230332342214
61143120412500
7126506114640
oct24756273364
97232843250
102813949684
111214446057
12666477130
1335aca27b0
141c9a15c20
15117092d09
hexa7b976f4

2813949684 has 144 divisors (see below), whose sum is σ = 9269664768. Its totient is φ = 698471424.

The previous prime is 2813949661. The next prime is 2813949689. The reversal of 2813949684 is 4869493182.

It is a self number, because there is not a number n which added to its sum of digits gives 2813949684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813949689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30429 + ... + 80955.

It is an arithmetic number, because the mean of its divisors is an integer number (64372672).

Almost surely, 22813949684 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 2813949684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634832384).

2813949684 is an abundant number, since it is smaller than the sum of its proper divisors (6455715084).

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

2813949684 is a wasteful number, since it uses less digits than its factorization.

2813949684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50574 (or 50569 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2813949684 is about 53046.6745800338. The cubic root of 2813949684 is about 1411.7965269752.

The spelling of 2813949684 in words is "two billion, eight hundred thirteen million, nine hundred forty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1071 1092 1326 1428 1547 1638 1989 2142 2652 3094 3276 3978 4284 4641 6188 7956 9282 13923 18564 27846 50527 55692 101054 151581 202108 303162 353689 454743 606324 656851 707378 858959 909486 1061067 1313702 1414756 1717918 1818972 1970553 2122134 2576877 2627404 3183201 3435836 3941106 4244268 4597957 5153754 5911659 6012713 6366402 7730631 7882212 9195914 10307508 11166467 11823318 12025426 12732804 13793871 15461262 18038139 18391828 22332934 23646636 24050852 27587742 30922524 33499401 36076278 41381613 44665868 54114417 55175484 66998802 72152556 78165269 82763226 100498203 108228834 133997604 156330538 165526452 200996406 216457668 234495807 312661076 401992812 468991614 703487421 937983228 1406974842 2813949684