Search a number
-
+
66151269682561 = 721409958144721
BaseRepresentation
bin11110000101010000010101…
…11011100100110110000001
322200012222222201112010210001
433002220022323210312001
532132310300014320221
6352405250155440001
716635162062511400
oct1702501273446601
9280188881463701
1066151269682561
111a0946611a2a38
127504686456001
132abb06553c09b
141249a4a785637
1579ab2dd1c391
hex3c2a0aee4d81

66151269682561 has 12 divisors (see below), whose sum is σ = 77006091307140. Its totient is φ = 56660846161920.

The previous prime is 66151269682541. The next prime is 66151269682601. The reversal of 66151269682561 is 16528696215166.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15624975688336 + 50526293994225 = 3952844^2 + 7108185^2 .

It is not a de Polignac number, because 66151269682561 - 215 = 66151269649793 is a prime.

It is a super-2 number, since 2×661512696825612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66151269682493 and 66151269682502.

It is not an unprimeable number, because it can be changed into a prime (66151269682541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479003320 + ... + 479141401.

It is an arithmetic number, because the mean of its divisors is an integer number (6417174275595).

Almost surely, 266151269682561 is an apocalyptic number.

It is an amenable number.

66151269682561 is a deficient number, since it is larger than the sum of its proper divisors (10854821624579).

66151269682561 is a wasteful number, since it uses less digits than its factorization.

66151269682561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958146144 (or 958146137 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 64.

The spelling of 66151269682561 in words is "sixty-six trillion, one hundred fifty-one billion, two hundred sixty-nine million, six hundred eighty-two thousand, five hundred sixty-one".

Divisors: 1 7 49 1409 9863 69041 958144721 6707013047 46949091329 1350025911889 9450181383223 66151269682561