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66312461061 = 32711769124433
BaseRepresentation
bin111101110000100001…
…111101101100000101
320100011102121001102100
4331300201331230011
52041301442223221
650244042102313
74535166422160
oct756041755405
9210142531370
1066312461061
1126139723530
1210a27aaa999
13633a497852
1432d0d9aad7
151ad1a0b926
hexf7087db05

66312461061 has 48 divisors (see below), whose sum is σ = 119576096640. Its totient is φ = 34402959360.

The previous prime is 66312461053. The next prime is 66312461071. The reversal of 66312461061 is 16016421366.

It is a happy number.

66312461061 is a `hidden beast` number, since 6 + 6 + 31 + 2 + 4 + 610 + 6 + 1 = 666.

It is not a de Polignac number, because 66312461061 - 23 = 66312461053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66312461071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470701 + ... + 595133.

It is an arithmetic number, because the mean of its divisors is an integer number (2491168680).

Almost surely, 266312461061 is an apocalyptic number.

It is an amenable number.

66312461061 is a deficient number, since it is larger than the sum of its proper divisors (53263635579).

66312461061 is a wasteful number, since it uses less digits than its factorization.

66312461061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125226 (or 125223 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 66312461061 in words is "sixty-six billion, three hundred twelve million, four hundred sixty-one thousand, sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 769 2307 5383 6921 8459 16149 25377 48447 59213 76131 124433 177639 373299 532917 871031 1119897 1368763 2613093 4106289 7839279 9581341 12318867 28744023 86232069 95688977 287066931 669822839 861200793 1052578747 2009468517 3157736241 6028405551 7368051229 9473208723 22104153687 66312461061