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3066065340456 = 2331931382925913
BaseRepresentation
bin101100100111011111101…
…111000100100000101000
3101212010001100212022010110
4230213133233010200220
5400213300211343311
610304310405014320
7434341646246106
oct54473757044050
911763040768113
103066065340456
11a82346a528a8
124162830b43a0
13193189a52831
14a8581126c76
1554b4e6d98a6
hex2c9dfbc4828

3066065340456 has 128 divisors (see below), whose sum is σ = 8104448016000. Its totient is φ = 963936350208.

The previous prime is 3066065340449. The next prime is 3066065340473. The reversal of 3066065340456 is 6540435606603.

3066065340456 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118308556 + ... + 118334468.

It is an arithmetic number, because the mean of its divisors is an integer number (63316000125).

Almost surely, 23066065340456 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 3066065340456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052224008000).

3066065340456 is an abundant number, since it is smaller than the sum of its proper divisors (5038382675544).

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

3066065340456 is a wasteful number, since it uses less digits than its factorization.

3066065340456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27083 (or 27079 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 3066065340456 in words is "three trillion, sixty-six billion, sixty-five million, three hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 313 456 626 829 939 1252 1658 1878 2487 2504 3316 3756 4974 5947 6632 7512 9948 11894 15751 17841 19896 23788 25913 31502 35682 47253 47576 51826 63004 71364 77739 94506 103652 126008 142728 155478 189012 207304 259477 310956 378024 492347 518954 621912 778431 984694 1037908 1477041 1556862 1969388 2075816 2954082 3113724 3938776 4930063 5908164 6227448 8110769 9860126 11816328 14790189 16221538 19720252 21481877 24332307 29580378 32443076 39440504 42963754 48664614 59160756 64445631 64886152 85927508 97329228 118321512 128891262 154104611 171855016 194658456 257782524 308209222 408155663 462313833 515565048 616418444 816311326 924627666 1224466989 1232836888 1632622652 1849255332 2448933978 3265245304 3698510664 4897867956 6723827501 9795735912 13447655002 20171482503 26895310004 40342965006 53790620008 80685930012 127752722519 161371860024 255505445038 383258167557 511010890076 766516335114 1022021780152 1533032670228 3066065340456