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66545255106 = 23311227736767
BaseRepresentation
bin111101111110011010…
…000000001011000010
320100202122122012211000
4331332122000023002
52042241041130411
650323115432430
74544024223051
oct757632001302
9210678565730
1066545255106
1126249075100
1210a91a55716
1363767947c5
143313c78398
151ae7192956
hexf7e6802c2

66545255106 has 96 divisors (see below), whose sum is σ = 163135203840. Its totient is φ = 20091883680.

The previous prime is 66545255089. The next prime is 66545255111. The reversal of 66545255106 is 60155254566.

66545255106 is a `hidden beast` number, since 66 + 54 + 5 + 25 + 510 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

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, 1791535 + ... + 1828301.

It is an arithmetic number, because the mean of its divisors is an integer number (1699325040).

Almost surely, 266545255106 is an apocalyptic number.

66545255106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66545255106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81567601920).

66545255106 is an abundant number, since it is smaller than the sum of its proper divisors (96589948734).

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

66545255106 is a wasteful number, since it uses less digits than its factorization.

66545255106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37077 (or 37060 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 66545255106 in words is "sixty-six billion, five hundred forty-five million, two hundred fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 277 297 363 554 594 726 831 1089 1662 2178 2493 3047 3267 4986 6094 6534 7479 9141 14958 18282 27423 33517 36767 54846 67034 73534 82269 100551 110301 164538 201102 220602 301653 330903 404437 603306 661806 808874 904959 992709 1213311 1809918 1985418 2426622 3639933 4448807 7279866 8897614 10184459 10919799 13346421 20368918 21839598 26692842 30553377 40039263 61106754 80078526 91660131 112029049 120117789 183320262 224058098 240235578 274980393 336087147 549960786 672174294 1008261441 1232319539 2016522882 2464639078 3024784323 3696958617 6049568646 7393917234 11090875851 22181751702 33272627553 66545255106