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66106425 = 35271111447
BaseRepresentation
bin1111110000101…
…1010000111001
311121101112222010
43330023100321
5113410401200
610320520133
71431616050
oct374132071
9147345863
1066106425
1134351810
121a180049
1310907538
148acb397
155c0c150
hex3f0b439

66106425 has 48 divisors (see below), whose sum is σ = 136276992. Its totient is φ = 27470400.

The previous prime is 66106363. The next prime is 66106433. The reversal of 66106425 is 52460166.

It is not a de Polignac number, because 66106425 - 26 = 66106361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66106392 and 66106401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52 + ... + 11498.

It is an arithmetic number, because the mean of its divisors is an integer number (2839104).

Almost surely, 266106425 is an apocalyptic number.

It is an amenable number.

66106425 is an abundant number, since it is smaller than the sum of its proper divisors (70170567).

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

66106425 is a wasteful number, since it uses less digits than its factorization.

66106425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11478 (or 11473 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66106425 is about 8130.5857722553. The cubic root of 66106425 is about 404.3411020639.

It can be divided in two parts, 66 and 106425, that added together give a triangular number (106491 = T461).

The spelling of 66106425 in words is "sixty-six million, one hundred six thousand, four hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 11447 34341 57235 80129 125917 171705 240387 286175 377751 400645 629585 858525 881419 1201935 1888755 2003225 2644257 3147925 4407095 6009675 9443775 13221285 22035475 66106425