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66135944 = 2375322283
BaseRepresentation
bin1111110001001…
…0011110001000
311121110001110102
43330102132020
5113412322234
610321304532
71432101110
oct374223610
9147401412
1066135944
1134371a06
121a195148
1310917ac4
148ad8040
155c15c7e
hex3f12788

66135944 has 32 divisors (see below), whose sum is σ = 144400320. Its totient is φ = 27807936.

The previous prime is 66135931. The next prime is 66135947. The reversal of 66135944 is 44953166.

66135944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×661359442 = 8747926177542272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66135898 and 66135907.

It is not an unprimeable number, because it can be changed into a prime (66135947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8174 + ... + 14109.

It is an arithmetic number, because the mean of its divisors is an integer number (4512510).

Almost surely, 266135944 is an apocalyptic number.

It is an amenable number.

66135944 is an abundant number, since it is smaller than the sum of its proper divisors (78264376).

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

66135944 is a wasteful number, since it uses less digits than its factorization.

66135944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22349 (or 22345 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 66135944 is about 8132.4008755103. The cubic root of 66135944 is about 404.4012776007.

The spelling of 66135944 in words is "sixty-six million, one hundred thirty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968 22283 44566 89132 155981 178264 311962 623924 1180999 1247848 2361998 4723996 8266993 9447992 16533986 33067972 66135944