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66780318 = 231117531123
BaseRepresentation
bin1111111010111…
…1110010011110
311122122210101010
43332233302132
5114043432233
610343200050
71440423543
oct376576236
9148583333
1066780318
1134772050
121a446026
1310ab21a7
148c24bca
155ce1b63
hex3fafc9e

66780318 has 64 divisors (see below), whose sum is σ = 157324032. Its totient is φ = 18670080.

The previous prime is 66780317. The next prime is 66780331. The reversal of 66780318 is 81308766.

It is a super-2 number, since 2×667803182 = 8919221744362248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66780317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58905 + ... + 60027.

It is an arithmetic number, because the mean of its divisors is an integer number (2458188).

Almost surely, 266780318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66780318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78662016).

66780318 is an abundant number, since it is smaller than the sum of its proper divisors (90543714).

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

66780318 is a wasteful number, since it uses less digits than its factorization.

66780318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 66780318 is about 8171.9225400147. The cubic root of 66780318 is about 405.7104190150.

The spelling of 66780318 in words is "sixty-six million, seven hundred eighty thousand, three hundred eighteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 187 318 374 561 583 901 1122 1123 1166 1749 1802 2246 2703 3369 3498 5406 6738 9911 12353 19091 19822 24706 29733 37059 38182 57273 59466 59519 74118 114546 119038 178557 210001 357114 420002 630003 654709 1011823 1260006 1309418 1964127 2023646 3035469 3928254 6070938 11130053 22260106 33390159 66780318