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66864525 = 35271397101
BaseRepresentation
bin1111111100010…
…0010110001101
311122211001212220
43333010112031
5114104131100
610345045553
71441224210
oct377042615
9148731786
1066864525
113481a342
121a4868b9
1310b11610
148c47777
155d0baa0
hex3fc458d

66864525 has 96 divisors (see below), whose sum is σ = 138824448. Its totient is φ = 27648000.

The previous prime is 66864521. The next prime is 66864533. The reversal of 66864525 is 52546866.

It is not a de Polignac number, because 66864525 - 22 = 66864521 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66864521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661975 + ... + 662075.

It is an arithmetic number, because the mean of its divisors is an integer number (1446088).

Almost surely, 266864525 is an apocalyptic number.

66864525 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66864525 is an abundant number, since it is smaller than the sum of its proper divisors (71959923).

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

66864525 is a wasteful number, since it uses less digits than its factorization.

66864525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 226 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 66864525 is about 8177.0731316285. The cubic root of 66864525 is about 405.8808749653.

It can be divided in two parts, 6686 and 4525, that added together give a palindrome (11211).

The spelling of 66864525 in words is "sixty-six million, eight hundred sixty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 97 101 105 175 195 273 291 303 325 455 485 505 525 679 707 975 1261 1313 1365 1455 1515 2037 2121 2275 2425 2525 3395 3535 3783 3939 6305 6565 6825 7275 7575 8827 9191 9797 10185 10605 16975 17675 18915 19695 26481 27573 29391 31525 32825 44135 45955 48985 50925 53025 68579 94575 98475 127361 132405 137865 146955 205737 220675 229775 244925 342895 382083 636805 662025 689325 734775 891527 1028685 1714475 1910415 2674581 3184025 4457635 5143425 9552075 13372905 22288175 66864525