Search a number
-
+
10196404848 = 243374771741
BaseRepresentation
bin10010111111100000…
…01100101001110000
3222022121100000221000
421133300030221300
5131340234423343
64403440202000
7510451003560
oct113760145160
928277300830
1010196404848
114362671973
121b86909300
13c665b6266
146ca28ada0
153ea256ed3
hex25fc0ca70

10196404848 has 160 divisors (see below), whose sum is σ = 34160670720. Its totient is φ = 2851234560.

The previous prime is 10196404847. The next prime is 10196404879. The reversal of 10196404848 is 84840469101.

10196404848 is a `hidden beast` number, since 10 + 196 + 404 + 8 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10196404847) 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, 106258 + ... + 177998.

It is an arithmetic number, because the mean of its divisors is an integer number (213504192).

Almost surely, 210196404848 is an apocalyptic number.

10196404848 is a gapful number since it is divisible by the number (18) 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 10196404848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080335360).

10196404848 is an abundant number, since it is smaller than the sum of its proper divisors (23964265872).

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

10196404848 is a wasteful number, since it uses less digits than its factorization.

10196404848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71812 (or 71800 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10196404848 in words is "ten billion, one hundred ninety-six million, four hundred four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 846 987 1008 1128 1269 1316 1512 1692 1974 2256 2538 2632 2961 3024 3384 3948 5076 5264 5922 6768 7896 8883 10152 11844 15792 17766 20304 23688 35532 47376 71064 71741 142128 143482 215223 286964 430446 502187 573928 645669 860892 1004374 1147856 1291338 1506561 1721784 1937007 2008748 2582676 3013122 3371827 3443568 3874014 4017496 4519683 5165352 6026244 6743654 7748028 8034992 9039366 10115481 10330704 12052488 13487308 13559049 15496056 18078732 20230962 23602789 24104976 26974616 27118098 30346443 30992112 36157464 40461924 47205578 53949232 54236196 60692886 70808367 72314928 80923848 91039329 94411156 108472392 121385772 141616734 161847696 182078658 188822312 212425101 216944784 242771544 283233468 364157316 377644624 424850202 485543088 566466936 637275303 728314632 849700404 1132933872 1274550606 1456629264 1699400808 2549101212 3398801616 5098202424 10196404848