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6561766068 = 22311134781359
BaseRepresentation
bin1100001110001110…
…01001101010110100
3121221022010020211220
412013013021222310
5101414303003233
63003041230340
7321415043214
oct60707115264
917838106756
106561766068
112867a44a70
1213316323b0
13807598920
14463682244
15286101eb3
hex1871c9ab4

6561766068 has 96 divisors (see below), whose sum is σ = 18370437120. Its totient is φ = 1796384640.

The previous prime is 6561766009. The next prime is 6561766087. The reversal of 6561766068 is 8606671656.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6561766068.

It is a congruent number.

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, 39973 + ... + 121331.

It is an arithmetic number, because the mean of its divisors is an integer number (191358720).

Almost surely, 26561766068 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 6561766068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185218560).

6561766068 is an abundant number, since it is smaller than the sum of its proper divisors (11808671052).

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

6561766068 is a wasteful number, since it uses less digits than its factorization.

6561766068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81437 (or 81435 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 6561766068 is about 81004.7286767878. The cubic root of 6561766068 is about 1872.1482996237.

The spelling of 6561766068 in words is "six billion, five hundred sixty-one million, seven hundred sixty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 132 141 143 156 188 282 286 429 517 564 572 611 858 1034 1222 1551 1716 1833 2068 2444 3102 3666 6204 6721 7332 13442 20163 26884 40326 80652 81359 162718 244077 325436 488154 894949 976308 1057667 1789898 2115334 2684847 3173001 3579796 3823873 4230668 5369694 6346002 7647746 10739388 11471619 11634337 12692004 15295492 22943238 23268674 34903011 42062603 45886476 46537348 49710349 69806022 84125206 99420698 126187809 139612044 149131047 168250412 198841396 252375618 298262094 504751236 546813839 596524188 1093627678 1640441517 2187255356 3280883034 6561766068