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3368512147660 = 2251133164371941
BaseRepresentation
bin110001000001001010111…
…110000101000011001100
3102221000201101220000100121
4301001022332011003030
5420142203102211120
611055250105434324
7465236604554242
oct61011276050314
912830641800317
103368512147660
11108963a321610
12464a0ba9b9a4
131b585977814a
14b90731d0792
155c951ab85aa
hex3104af850cc

3368512147660 has 96 divisors (see below), whose sum is σ = 7752414668544. Its totient is φ = 1219296672000.

The previous prime is 3368512147619. The next prime is 3368512147661. The reversal of 3368512147660 is 667412158633.

It is a super-2 number, since 2×33685121476602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3368512147598 and 3368512147607.

It is not an unprimeable number, because it can be changed into a prime (3368512147661) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46787290 + ... + 46859230.

It is an arithmetic number, because the mean of its divisors is an integer number (80754319464).

Almost surely, 23368512147660 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 3368512147660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876207334272).

3368512147660 is an abundant number, since it is smaller than the sum of its proper divisors (4383902520884).

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

3368512147660 is a wasteful number, since it uses less digits than its factorization.

3368512147660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72935 (or 72933 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 3368512147660 in words is "three trillion, three hundred sixty-eight billion, five hundred twelve million, one hundred forty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 643 662 1286 1324 1655 2572 3215 3310 3641 6430 6620 7073 7282 12860 14146 14564 18205 28292 35365 36410 70730 71941 72820 141460 143882 212833 287764 359705 425666 719410 791351 851332 1064165 1438820 1582702 2128330 2341163 3165404 3956755 4256660 4682326 7913510 9364652 11705815 15827020 23411630 23812471 46258063 46823260 47624942 92516126 95249884 119062355 185032252 231290315 238124710 261937181 462580630 476249420 508838693 523874362 925161260 1017677386 1047748724 1309685905 2035354772 2544193465 2619371810 5088386930 5238743620 10176773860 15311418853 30622837706 61245675412 76557094265 153114188530 168425607383 306228377060 336851214766 673702429532 842128036915 1684256073830 3368512147660