Search a number
-
+
11692289154 = 2372132325783
BaseRepresentation
bin10101110001110101…
…00010110010000010
31010011212002211102110
422320322202302002
5142421211223104
65212114200150
7562513550400
oct127072426202
933155084373
1011692289154
114a5aaa0997
122323883056
1311444970c0
147ccbdc470
1548673be89
hex2b8ea2c82

11692289154 has 144 divisors (see below), whose sum is σ = 30629333952. Its totient is φ = 2949097536.

The previous prime is 11692289153. The next prime is 11692289173. The reversal of 11692289154 is 45198229611.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11692289153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2018947 + ... + 2024729.

It is an arithmetic number, because the mean of its divisors is an integer number (212703708).

Almost surely, 211692289154 is an apocalyptic number.

11692289154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11692289154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15314666976).

11692289154 is an abundant number, since it is smaller than the sum of its proper divisors (18937044798).

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

11692289154 is a wasteful number, since it uses less digits than its factorization.

11692289154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5831 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The spelling of 11692289154 in words is "eleven billion, six hundred ninety-two million, two hundred eighty-nine thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 49 69 78 91 98 138 147 161 182 273 294 299 322 483 529 546 598 637 897 966 1058 1127 1274 1587 1794 1911 2093 2254 3174 3381 3703 3822 4186 5783 6279 6762 6877 7406 11109 11566 12558 13754 14651 17349 20631 22218 25921 29302 34698 40481 41262 43953 48139 51842 75179 77763 80962 87906 96278 121443 133009 144417 150358 155526 225537 242886 266018 283367 288834 336973 399027 451074 526253 566734 673946 798054 850101 931063 1010919 1052506 1578759 1700202 1729117 1862126 2021838 2793189 3059207 3157518 3458234 3683771 5187351 5586378 6118414 6517441 7367542 9177621 10374702 11051313 12103819 13034882 18355242 19552323 21414449 22102626 24207638 36311457 39104646 39769691 42828898 64243347 72622914 79539382 84726733 119309073 128486694 149901143 169453466 238618146 254180199 278387837 299802286 449703429 508360398 556775674 835163511 899406858 1670327022 1948714859 3897429718 5846144577 11692289154