Search a number
-
+
10668246160 = 24511131949081
BaseRepresentation
bin10011110111110000…
…01000010010010000
31000112111012001112011
421323320020102100
5133322032334120
64522333312304
7525240411325
oct117370102220
930474161464
1010668246160
114584a46270
122098935694
13101028c4c0
14732bd2b4c
154268abc5a
hex27be08490

10668246160 has 160 divisors (see below), whose sum is σ = 30674286720. Its totient is φ = 3392409600.

The previous prime is 10668246157. The next prime is 10668246161. The reversal of 10668246160 is 6164286601.

It is a happy number.

It is a super-2 number, since 2×106682461602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10668246161) 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, 192820 + ... + 241900.

It is an arithmetic number, because the mean of its divisors is an integer number (191714292).

Almost surely, 210668246160 is an apocalyptic number.

10668246160 is a gapful number since it is divisible by the number (10) 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 10668246160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337143360).

10668246160 is an abundant number, since it is smaller than the sum of its proper divisors (20006040560).

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

10668246160 is a wasteful number, since it uses less digits than its factorization.

10668246160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49137 (or 49131 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 10668246160 in words is "ten billion, six hundred sixty-eight million, two hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 19 20 22 26 38 40 44 52 55 65 76 80 88 95 104 110 130 143 152 176 190 208 209 220 247 260 286 304 380 418 440 494 520 572 715 760 836 880 988 1040 1045 1144 1235 1430 1520 1672 1976 2090 2288 2470 2717 2860 3344 3952 4180 4940 5434 5720 8360 9880 10868 11440 13585 16720 19760 21736 27170 43472 49081 54340 98162 108680 196324 217360 245405 392648 490810 539891 638053 785296 932539 981620 1079782 1276106 1865078 1963240 2159564 2552212 2699455 3190265 3730156 3926480 4319128 4662695 5104424 5398910 6380530 7018583 7460312 8638256 9325390 10208848 10257929 10797820 12123007 12761060 14037166 14920624 18650780 20515858 21595640 24246014 25522120 28074332 35092915 37301560 41031716 43191280 48492028 51044240 51289645 56148664 60615035 70185830 74603120 82063432 96984056 102579290 112297328 121230070 133353077 140371660 164126864 193968112 205158580 242460140 266706154 280743320 410317160 484920280 533412308 561486640 666765385 820634320 969840560 1066824616 1333530770 2133649232 2667061540 5334123080 10668246160