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64188138 = 23721092003
BaseRepresentation
bin1111010011011…
…0111011101010
311110210002120110
43310312323222
5112413010023
610211435150
71406406300
oct364667352
9143702513
1064188138
1133261553
12195b5ab6
13103b5361
14874c270
15597da93
hex3d36eea

64188138 has 48 divisors (see below), whose sum is σ = 150780960. Its totient is φ = 18162144.

The previous prime is 64187999. The next prime is 64188139. The reversal of 64188138 is 83188146.

It is a junction number, because it is equal to n+sod(n) for n = 64188096 and 64188105.

It is not an unprimeable number, because it can be changed into a prime (64188139) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31045 + ... + 33047.

It is an arithmetic number, because the mean of its divisors is an integer number (3141270).

Almost surely, 264188138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64188138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75390480).

64188138 is an abundant number, since it is smaller than the sum of its proper divisors (86592822).

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

64188138 is a wasteful number, since it uses less digits than its factorization.

64188138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2124 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 64188138 is about 8011.7499960995. The cubic root of 64188138 is about 400.3915707225.

The spelling of 64188138 in words is "sixty-four million, one hundred eighty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 109 147 218 294 327 654 763 1526 2003 2289 4006 4578 5341 6009 10682 12018 14021 16023 28042 32046 42063 84126 98147 196294 218327 294441 436654 588882 654981 1309962 1528289 3056578 4584867 9169734 10698023 21396046 32094069 64188138