Search a number
-
+
3376778812904 = 2372412716471427
BaseRepresentation
bin110001001000110111101…
…100111001110111101000
3102221211001112002010012102
4301020313230321313220
5420311120334003104
611103134253032532
7465651504216140
oct61106754716750
912854045063172
103376778812904
1110920a1675562
12466538485748
131b6576317243
14b9619071920
155cc876daa1e
hex31237b39de8

3376778812904 has 128 divisors (see below), whose sum is σ = 7309181214720. Its totient is φ = 1432644019200.

The previous prime is 3376778812867. The next prime is 3376778812919. The reversal of 3376778812904 is 4092188776733.

It is a super-2 number, since 2×33767788129042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366347439 + ... + 2366348865.

It is an arithmetic number, because the mean of its divisors is an integer number (57102978240).

Almost surely, 23376778812904 is an apocalyptic number.

It is an amenable number.

3376778812904 is an abundant number, since it is smaller than the sum of its proper divisors (3932402401816).

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

3376778812904 is a wasteful number, since it uses less digits than its factorization.

3376778812904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 65.

The spelling of 3376778812904 in words is "three trillion, three hundred seventy-six billion, seven hundred seventy-eight million, eight hundred twelve thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 28 56 241 271 482 542 647 964 1084 1294 1427 1687 1897 1928 2168 2588 2854 3374 3794 4529 5176 5708 6748 7588 9058 9989 11416 13496 15176 18116 19978 36232 39956 65311 79912 130622 155927 175337 261244 311854 343907 350674 386717 457177 522488 623708 687814 701348 773434 914354 923269 1091489 1227359 1247416 1375628 1402696 1546868 1828708 1846538 2182978 2407349 2454718 2707019 2751256 3093736 3657416 3693076 4365956 4814698 4909436 5414038 6462883 7386152 8731912 9629396 9818872 10828076 12925766 19258792 21656152 25851532 42256217 51703064 84512434 93198797 169024868 186397594 222507829 250205899 295793519 338049736 372795188 445015658 500411798 591587038 652391579 745590376 890031316 1000823596 1183174076 1304783158 1557554803 1751441293 1780062632 2001647192 2366348152 2609566316 3115109606 3502882586 5219132632 6230219212 7005765172 12460438424 14011530344 60299621659 120599243318 241198486636 422097351613 482396973272 844194703226 1688389406452 3376778812904