Search a number
-
+
10023112261674 = 23317232511891291
BaseRepresentation
bin1001000111011011000000…
…0010111100000000101010
31022111012101221000210111000
42101312300002330000222
52303204313214333144
633152315413015430
72053101031335351
oct221666002740052
938435357023430
1010023112261674
11321486162a326
12115a668024576
135792385622c5
1426919a8c0998
15125ace02a769
hex91db00bc02a

10023112261674 has 128 divisors (see below), whose sum is σ = 24707233474560. Its totient is φ = 2995803360000.

The previous prime is 10023112261661. The next prime is 10023112261727. The reversal of 10023112261674 is 47616221132001.

10023112261674 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 11 + 22 + 616 + 7 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353969 + ... + 6245259.

It is an arithmetic number, because the mean of its divisors is an integer number (193025261520).

Almost surely, 210023112261674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023112261674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12353616737280).

10023112261674 is an abundant number, since it is smaller than the sum of its proper divisors (14684121212886).

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

10023112261674 is a wasteful number, since it uses less digits than its factorization.

10023112261674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891593 (or 1891587 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 10023112261674 its reverse (47616221132001), we get a palindrome (57639333393675).

The spelling of 10023112261674 in words is "ten trillion, twenty-three billion, one hundred twelve million, two hundred sixty-one thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 251 306 391 414 459 502 621 753 782 918 1173 1242 1506 2259 2346 3519 4267 4518 5773 6777 7038 8534 10557 11546 12801 13554 17319 21114 25602 34638 38403 51957 76806 98141 103914 115209 155871 196282 230418 294423 311742 588846 883269 1766538 1891291 2649807 3782582 5299614 5673873 11347746 17021619 32151947 34043238 43499693 51064857 64303894 86999386 96455841 102129714 130499079 192911682 260998158 289367523 391497237 474714041 578735046 739494781 782994474 868102569 949428082 1174491711 1424142123 1478989562 1736205138 2218484343 2348983422 2848284246 4272426369 4436968686 6655453029 8070138697 8544852738 10918422943 12817279107 13310906058 16140277394 19966359087 21836845886 24210416091 25634558214 32755268829 39932718174 48420832182 65510537658 72631248273 98265806487 145262496546 185613190031 196531612974 217893744819 294797419461 371226380062 435787489638 556839570093 589594838922 1113679140186 1670518710279 3341037420558 5011556130837 10023112261674