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66336125 = 5317193153
BaseRepresentation
bin1111110100001…
…1010101111101
311121211020001112
43331003111331
5113440224000
610325451405
71433563532
oct375032575
9147736045
1066336125
1134499349
121a270b65
1310987c5b
148b4ad89
155c55235
hex3f4357d

66336125 has 64 divisors (see below), whose sum is σ = 97044480. Its totient is φ = 44928000.

The previous prime is 66336121. The next prime is 66336131. The reversal of 66336125 is 52163366.

It is not a de Polignac number, because 66336125 - 22 = 66336121 is a prime.

Its product of digits (19440) is a multiple of the sum of its prime factors (135).

It is a junction number, because it is equal to n+sod(n) for n = 66336091 and 66336100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66336121) 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 63 ways as a sum of consecutive naturals, for example, 1251599 + ... + 1251651.

It is an arithmetic number, because the mean of its divisors is an integer number (1516320).

Almost surely, 266336125 is an apocalyptic number.

It is an amenable number.

66336125 is a deficient number, since it is larger than the sum of its proper divisors (30708355).

66336125 is a wasteful number, since it uses less digits than its factorization.

66336125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 19440, while the sum is 32.

The square root of 66336125 is about 8144.6991964099. The cubic root of 66336125 is about 404.8088820359.

The spelling of 66336125 in words is "sixty-six million, three hundred thirty-six thousand, one hundred twenty-five".

Divisors: 1 5 17 19 25 31 53 85 95 125 155 265 323 425 475 527 589 775 901 1007 1325 1615 1643 2125 2375 2635 2945 3875 4505 5035 6625 8075 8215 10013 13175 14725 17119 22525 25175 27931 31217 40375 41075 50065 65875 73625 85595 112625 125875 139655 156085 205375 250325 427975 530689 698275 780425 1251625 2139875 2653445 3491375 3902125 13267225 66336125