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66112398 = 232113110771
BaseRepresentation
bin1111110000110…
…0101110001110
311121101212011100
43330030232032
5113411044043
610321003530
71431642342
oct374145616
9147355140
1066112398
1134356250
121a1835a6
131090a181
148acd622
155c0dcd3
hex3f0cb8e

66112398 has 48 divisors (see below), whose sum is σ = 161321472. Its totient is φ = 19386000.

The previous prime is 66112379. The next prime is 66112433. The reversal of 66112398 is 89321166.

66112398 is a `hidden beast` number, since 6 + 611 + 2 + 39 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753 + ... + 11523.

It is an arithmetic number, because the mean of its divisors is an integer number (3360864).

Almost surely, 266112398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66112398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80660736).

66112398 is an abundant number, since it is smaller than the sum of its proper divisors (95209074).

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

66112398 is a wasteful number, since it uses less digits than its factorization.

66112398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10818 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 66112398 is about 8130.9530806665. The cubic root of 66112398 is about 404.3532796833.

It can be divided in two parts, 6611 and 2398, that added together give a palindrome (9009).

The spelling of 66112398 in words is "sixty-six million, one hundred twelve thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 10771 21542 32313 64626 96939 118481 193878 236962 333901 355443 667802 710886 1001703 1066329 2003406 2132658 3005109 3672911 6010218 7345822 11018733 22037466 33056199 66112398