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10024435434 = 2313289113983
BaseRepresentation
bin10010101011000000…
…01011111011101010
3221212121202002020110
421111200023323222
5131012223413214
64334414235150
7503262203166
oct112540137352
927777662213
1010024435434
114284594792
121b391b5ab6
13c39a94700
146b14c3ca6
153da0d8159
hex25580beea

10024435434 has 96 divisors (see below), whose sum is σ = 22170464640. Its totient is φ = 3019720704.

The previous prime is 10024435331. The next prime is 10024435583. The reversal of 10024435434 is 43453442001.

10024435434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 10197307 + ... + 10198289.

It is an arithmetic number, because the mean of its divisors is an integer number (230942340).

Almost surely, 210024435434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024435434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085232320).

10024435434 is an abundant number, since it is smaller than the sum of its proper divisors (12146029206).

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

10024435434 is a wasteful number, since it uses less digits than its factorization.

10024435434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10024435434 its reverse (43453442001), we get a palindrome (53477877435).

The spelling of 10024435434 in words is "ten billion, twenty-four million, four hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 89 113 169 178 226 267 338 339 507 534 678 983 1014 1157 1469 1966 2314 2938 2949 3471 4407 5898 6942 8814 10057 12779 15041 19097 20114 25558 30082 30171 38194 38337 45123 57291 60342 76674 87487 90246 111079 114582 130741 166127 174974 222158 261482 262461 332254 333237 392223 498381 524922 666474 784446 996762 1137331 1444027 1699633 2274662 2888054 3399266 3411993 4332081 5098899 6823986 8664162 9886031 10197798 14785303 18772351 19772062 29570606 29658093 37544702 44355909 56317053 59316186 88711818 112634106 128518403 257036806 385555209 771110418 1670739239 3341478478 5012217717 10024435434