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66131481 = 3131998521
BaseRepresentation
bin1111110001000…
…1011000011001
311121102211100010
43330101120121
5113412201411
610321232133
71432052103
oct374213031
9147384303
1066131481
1134369619
121a192649
1310915a70
148ad6573
155c147a6
hex3f11619

66131481 has 16 divisors (see below), whose sum is σ = 95446400. Its totient is φ = 40487040.

The previous prime is 66131477. The next prime is 66131501. The reversal of 66131481 is 18413166.

66131481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66131481 - 22 = 66131477 is a prime.

It is a super-2 number, since 2×661314812 = 8746745558506722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66131441) 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 15 ways as a sum of consecutive naturals, for example, 3501 + ... + 12021.

It is an arithmetic number, because the mean of its divisors is an integer number (5965400).

Almost surely, 266131481 is an apocalyptic number.

It is an amenable number.

66131481 is a deficient number, since it is larger than the sum of its proper divisors (29314919).

66131481 is a wasteful number, since it uses less digits than its factorization.

66131481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736.

The product of its digits is 3456, while the sum is 30.

The square root of 66131481 is about 8132.1264746682. The cubic root of 66131481 is about 404.3921807648.

The spelling of 66131481 in words is "sixty-six million, one hundred thirty-one thousand, four hundred eighty-one".

Divisors: 1 3 13 39 199 597 2587 7761 8521 25563 110773 332319 1695679 5087037 22043827 66131481