Search a number
-
+
11590005612 = 22317616411453
BaseRepresentation
bin10101100101101000…
…10111001101101100
31002220201122021210010
422302310113031230
5142214020134422
65154022013220
7560132264553
oct126264271554
932821567703
1011590005612
114a0828a839
1222b5577210
1311292340b3
147bd3b4d9a
1547c785b0c
hex2b2d1736c

11590005612 has 96 divisors (see below), whose sum is σ = 29169008064. Its totient is φ = 3568435200.

The previous prime is 11590005611. The next prime is 11590005613. The reversal of 11590005612 is 21650009511.

It is an interprime number because it is at equal distance from previous prime (11590005611) and next prime (11590005613).

It is a self number, because there is not a number n which added to its sum of digits gives 11590005612.

It is not an unprimeable number, because it can be changed into a prime (11590005611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7975878 + ... + 7977330.

It is an arithmetic number, because the mean of its divisors is an integer number (303843834).

Almost surely, 211590005612 is an apocalyptic number.

11590005612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11590005612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584504032).

11590005612 is an abundant number, since it is smaller than the sum of its proper divisors (17579002452).

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

11590005612 is a wasteful number, since it uses less digits than its factorization.

11590005612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The spelling of 11590005612 in words is "eleven billion, five hundred ninety million, five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 641 732 1037 1282 1453 1923 2074 2564 2906 3111 3846 4148 4359 5812 6222 7692 8718 10897 12444 17436 21794 24701 32691 39101 43588 49402 65382 74103 78202 88633 98804 117303 130764 148206 156404 177266 234606 265899 296412 354532 469212 531798 664717 931373 1063596 1329434 1506761 1862746 1994151 2658868 2794119 3013522 3725492 3988302 4520283 5588238 6027044 7976604 9040566 11176476 15833341 18081132 31666682 47500023 56813753 63333364 95000046 113627506 170441259 190000092 227255012 340882518 681765036 965833801 1931667602 2897501403 3863335204 5795002806 11590005612