Search a number
-
+
10930309992 = 2333753136397
BaseRepresentation
bin10100010110111111…
…10100101101101000
31001012202022021112000
422023133310231220
5134341124404432
65004334251000
7534602046660
oct121337645550
931182267460
1010930309992
1146a9969748
122150656a60
131052666c64
1475992d1a0
1543e8c557c
hex28b7f4b68

10930309992 has 128 divisors (see below), whose sum is σ = 35354361600. Its totient is φ = 3063999744.

The previous prime is 10930309961. The next prime is 10930309997. The reversal of 10930309992 is 29990303901.

It is not an unprimeable number, because it can be changed into a prime (10930309997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11938 + ... + 148334.

It is an arithmetic number, because the mean of its divisors is an integer number (276205950).

Almost surely, 210930309992 is an apocalyptic number.

10930309992 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 10930309992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677180800).

10930309992 is an abundant number, since it is smaller than the sum of its proper divisors (24424051608).

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

10930309992 is a wasteful number, since it uses less digits than its factorization.

10930309992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136472 (or 136462 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The spelling of 10930309992 in words is "ten billion, nine hundred thirty million, three hundred nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 954 1113 1272 1431 1484 1512 1908 2226 2862 2968 3339 3816 4452 5724 6678 8904 10017 11448 13356 20034 26712 40068 80136 136397 272794 409191 545588 818382 954779 1091176 1227573 1636764 1909558 2455146 2864337 3273528 3682719 3819116 4910292 5728674 7229041 7365438 7638232 8593011 9820584 11457348 14458082 14730876 17186022 21687123 22914696 25779033 28916164 29461752 34372044 43374246 50603287 51558066 57832328 65061369 68744088 86748492 101206574 103116132 130122738 151809861 173496984 195184107 202413148 206232264 260245476 303619722 390368214 404826296 455429583 520490952 607239444 780736428 910859166 1214478888 1366288749 1561472856 1821718332 2732577498 3643436664 5465154996 10930309992