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64146128 = 2419211007
BaseRepresentation
bin1111010010110…
…0101011010000
311110200221221112
43310230223100
5112410134003
610210512452
71406142644
oct364545320
9143627845
1064146128
1133232a32
1219595728
131039c1b7
14873ac24
1559713d8
hex3d2cad0

64146128 has 20 divisors (see below), whose sum is σ = 130824960. Its totient is φ = 30384864.

The previous prime is 64146119. The next prime is 64146133. The reversal of 64146128 is 82164146.

64146128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641461282 = 8229451474784768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64146094 and 64146103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105200 + ... + 105807.

It is an arithmetic number, because the mean of its divisors is an integer number (6541248).

Almost surely, 264146128 is an apocalyptic number.

It is an amenable number.

64146128 is an abundant number, since it is smaller than the sum of its proper divisors (66678832).

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

64146128 is a wasteful number, since it uses less digits than its factorization.

64146128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211034 (or 211028 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 64146128 is about 8009.1277927125. The cubic root of 64146128 is about 400.3042019277.

The spelling of 64146128 in words is "sixty-four million, one hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 211007 422014 844028 1688056 3376112 4009133 8018266 16036532 32073064 64146128