Search a number
-
+
2091839409 = 3211217192313
BaseRepresentation
bin111110010101110…
…1110111110110001
312101210011110012200
41330223232332301
513241002330114
6543323213413
7102560225112
oct17453567661
95353143180
102091839409
11983874a00
124a4677269
132744c15ca
1415bb64209
15c39a4409
hex7caeefb1

2091839409 has 108 divisors (see below), whose sum is σ = 3723249348. Its totient is φ = 1126794240.

The previous prime is 2091839401. The next prime is 2091839411. The reversal of 2091839409 is 9049381902.

2091839409 is a `hidden beast` number, since 209 + 1 + 8 + 39 + 409 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 629006400 + 1462833009 = 25080^2 + 38247^2 .

It is not a de Polignac number, because 2091839409 - 23 = 2091839401 is a prime.

It is a super-2 number, since 2×20918394092 = 8751584226090938562, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2091839401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6683037 + ... + 6683349.

It is an arithmetic number, because the mean of its divisors is an integer number (34474531).

Almost surely, 22091839409 is an apocalyptic number.

It is an amenable number.

2091839409 is a deficient number, since it is larger than the sum of its proper divisors (1631409939).

2091839409 is a wasteful number, since it uses less digits than its factorization.

2091839409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2091839409 is about 45736.6309318909. The cubic root of 2091839409 is about 1278.9182366235.

The spelling of 2091839409 in words is "two billion, ninety-one million, eight hundred thirty-nine thousand, four hundred nine".

Divisors: 1 3 9 11 17 19 33 51 57 99 121 153 171 187 209 313 323 361 363 561 627 939 969 1083 1089 1683 1881 2057 2299 2817 2907 3249 3443 3553 3971 5321 5947 6137 6171 6897 10329 10659 11913 15963 17841 18411 18513 20691 30987 31977 35739 37873 39083 43681 47889 53523 55233 58531 65417 67507 101099 112993 113619 117249 131043 175593 196251 202521 303297 338979 340857 351747 393129 526779 588753 607563 643841 719587 742577 909891 1016937 1112089 1242923 1920881 1931523 2158761 2227731 3336267 3728769 5762643 5794569 6476283 6683193 10008801 11186307 12232979 13672153 17287929 21129691 36698937 41016459 63389073 110096811 123049377 190167219 232426601 697279803 2091839409