Search a number
-
+
10223576676 = 223531477219
BaseRepresentation
bin10011000010101111…
…10110011001100100
3222101111110111200000
421201113312121210
5131414213423201
64410250421300
7511230652665
oct114127663144
928344414600
1010223576676
114376a40525
121b93a31830
13c6c10ab71
146cdb2136c
153ec822d86
hex2615f6664

10223576676 has 144 divisors (see below), whose sum is σ = 28257116160. Its totient is φ = 3227312160.

The previous prime is 10223576647. The next prime is 10223576717. The reversal of 10223576676 is 67667532201.

10223576676 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 576 + 6 + 76 = 666.

10223576676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1412595 + ... + 1419813.

Almost surely, 210223576676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223576676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128558080).

10223576676 is an abundant number, since it is smaller than the sum of its proper divisors (18033539484).

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

10223576676 is a wasteful number, since it uses less digits than its factorization.

10223576676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 10223576676 in words is "ten billion, two hundred twenty-three million, five hundred seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 81 93 94 108 124 141 162 186 188 243 279 282 324 372 423 486 558 564 837 846 972 1116 1269 1457 1674 1692 2511 2538 2914 3348 3807 4371 5022 5076 5828 7219 7533 7614 8742 10044 11421 13113 14438 15066 15228 17484 21657 22842 26226 28876 30132 39339 43314 45684 52452 64971 78678 86628 118017 129942 157356 194913 223789 236034 259884 339293 354051 389826 447578 472068 584739 671367 678586 708102 779652 895156 1017879 1169478 1342734 1357172 1416204 1754217 2014101 2035758 2338956 2685468 3053637 3508434 4028202 4071516 6042303 6107274 7016868 8056404 9160911 10518083 12084606 12214548 18126909 18321822 21036166 24169212 27482733 31554249 36253818 36643644 42072332 54380727 54965466 63108498 72507636 82448199 94662747 108761454 109930932 126216996 164896398 189325494 217522908 283988241 329792796 378650988 567976482 851964723 1135952964 1703929446 2555894169 3407858892 5111788338 10223576676