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66131955 = 32517137631
BaseRepresentation
bin1111110001000…
…1011111110011
311121102211222200
43330101133303
5113412210310
610321234243
71432053351
oct374213763
9147384880
1066131955
1134369a0a
121a192983
1310916046
148ad67d1
155c149c0
hex3f117f3

66131955 has 48 divisors (see below), whose sum is σ = 122451264. Its totient is φ = 32901120.

The previous prime is 66131929. The next prime is 66131957. The reversal of 66131955 is 55913166.

It is not a de Polignac number, because 66131955 - 28 = 66131699 is a prime.

It is a super-3 number, since 3×661319553 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66131957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104490 + ... + 105120.

It is an arithmetic number, because the mean of its divisors is an integer number (2551068).

Almost surely, 266131955 is an apocalyptic number.

66131955 is a deficient number, since it is larger than the sum of its proper divisors (56319309).

66131955 is a wasteful number, since it uses less digits than its factorization.

66131955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 793 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 66131955 is about 8132.1556182847. The cubic root of 66131955 is about 404.3931469281.

The spelling of 66131955 in words is "sixty-six million, one hundred thirty-one thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 137 153 255 411 631 685 765 1233 1893 2055 2329 3155 5679 6165 6987 9465 10727 11645 20961 28395 32181 34935 53635 86447 96543 104805 160905 259341 432235 482715 778023 1296705 1469599 3890115 4408797 7347995 13226391 22043985 66131955