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64180116 = 2232711132137
BaseRepresentation
bin1111010011010…
…0111110010100
311110202200120100
43310310332110
5112412230431
610211334100
71406344020
oct364647624
9143680510
1064180116
1133256520
12195b1330
13103b1800
148749380
15597b4e6
hex3d34f94

64180116 has 216 divisors, whose sum is σ = 220618944. Its totient is φ = 15275520.

The previous prime is 64180091. The next prime is 64180139. The reversal of 64180116 is 61108146.

64180116 is a `hidden beast` number, since 641 + 8 + 0 + 1 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 64180116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468400 + ... + 468536.

It is an arithmetic number, because the mean of its divisors is an integer number (1021384).

Almost surely, 264180116 is an apocalyptic number.

64180116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64180116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110309472).

64180116 is an abundant number, since it is smaller than the sum of its proper divisors (156438828).

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

64180116 is a wasteful number, since it uses less digits than its factorization.

64180116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 64180116 is about 8011.2493407708. The cubic root of 64180116 is about 400.3748902002.

The spelling of 64180116 in words is "sixty-four million, one hundred eighty thousand, one hundred sixteen".