Search a number
-
+
66711918 = 23713612003
BaseRepresentation
bin1111111001111…
…1000101101110
311122112022112210
43332133011232
5114034240133
610341511250
71440020250
oct376370556
9148468483
1066711918
1134725719
121a412526
1310a8a010
148c07cd0
155ccb763
hex3f9f16e

66711918 has 64 divisors (see below), whose sum is σ = 166989312. Its totient is φ = 17297280.

The previous prime is 66711917. The next prime is 66711943. The reversal of 66711918 is 81911766.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66711913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32305 + ... + 34307.

It is an arithmetic number, because the mean of its divisors is an integer number (2609208).

Almost surely, 266711918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66711918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83494656).

66711918 is an abundant number, since it is smaller than the sum of its proper divisors (100277394).

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

66711918 is a wasteful number, since it uses less digits than its factorization.

66711918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089.

The product of its digits is 18144, while the sum is 39.

The square root of 66711918 is about 8167.7364061287. The cubic root of 66711918 is about 405.5718548720.

The spelling of 66711918 in words is "sixty-six million, seven hundred eleven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 182 183 273 366 427 546 793 854 1281 1586 2003 2379 2562 4006 4758 5551 6009 11102 12018 14021 16653 26039 28042 33306 42063 52078 78117 84126 122183 156234 182273 244366 364546 366549 546819 733098 855281 1093638 1588379 1710562 2565843 3176758 4765137 5131686 9530274 11118653 22237306 33355959 66711918