Search a number
-
+
2043640566 = 23211671271213
BaseRepresentation
bin111100111001111…
…0111101011110110
312021102110200211100
41321303313223312
513141132444231
6534442150530
7101433441522
oct17163675366
95242420740
102043640566
11959644450
124904b2446
13267516c96
141555b8d82
15be6331e6
hex79cf7af6

2043640566 has 96 divisors (see below), whose sum is σ = 4945195008. Its totient is φ = 604739520.

The previous prime is 2043640561. The next prime is 2043640579. The reversal of 2043640566 is 6650463402.

2043640566 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 640 + 5 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2043640566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043640561) 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, 1684176 + ... + 1685388.

It is an arithmetic number, because the mean of its divisors is an integer number (51512448).

Almost surely, 22043640566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043640566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472597504).

2043640566 is an abundant number, since it is smaller than the sum of its proper divisors (2901554442).

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

2043640566 is a wasteful number, since it uses less digits than its factorization.

2043640566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2043640566 is about 45206.6429410546. The cubic root of 2043640566 is about 1269.0191376562.

The spelling of 2043640566 in words is "two billion, forty-three million, six hundred forty thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 127 134 198 201 254 381 402 603 737 762 1143 1206 1213 1397 1474 2211 2286 2426 2794 3639 4191 4422 6633 7278 8382 8509 10917 12573 13266 13343 17018 21834 25146 25527 26686 40029 51054 76581 80058 81271 93599 120087 153162 154051 162542 187198 240174 243813 280797 308102 462153 487626 561594 731439 842391 893981 924306 1386459 1462878 1684782 1694561 1787962 2681943 2772918 3389122 5083683 5363886 8045829 10167366 10321417 15251049 16091658 20642834 30502098 30964251 61928502 92892753 113535587 185785506 227071174 340606761 681213522 1021820283 2043640566