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64074816 = 26321343199
BaseRepresentation
bin1111010001101…
…1010001000000
311110120100010100
43310123101000
5112400343231
610205202400
71405425021
oct364332100
9143510110
1064074816
11331943a3
1219560400
13103758c0
14871cc48
15595a1e6
hex3d1b440

64074816 has 168 divisors, whose sum is σ = 203403200. Its totient is φ = 19160064.

The previous prime is 64074797. The next prime is 64074817. The reversal of 64074816 is 61847046.

64074816 is a `hidden beast` number, since 640 + 7 + 4 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64074817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321885 + ... + 322083.

Almost surely, 264074816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101701600).

64074816 is an abundant number, since it is smaller than the sum of its proper divisors (139328384).

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

64074816 is a wasteful number, since it uses less digits than its factorization.

64074816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 64074816 is about 8004.6746342372. The cubic root of 64074816 is about 400.1558059700.

The spelling of 64074816 in words is "sixty-four million, seventy-four thousand, eight hundred sixteen".