Base | Representation |
---|---|
bin | 111100001101110111… |
… | …110001001100000000 |
3 | 20011220001222201220000 |
4 | 330031313301030000 |
5 | 2024404222421030 |
6 | 45411512520000 |
7 | 4446160260300 |
oct | 741567611400 |
9 | 204801881800 |
10 | 64657232640 |
11 | 2546a35a960 |
12 | 106456b0000 |
13 | 6135595950 |
14 | 31b520b600 |
15 | 1a3654d860 |
hex | f0ddf1300 |
64657232640 has 2160 divisors, whose sum is σ = 319730574240. Its totient is φ = 12262440960.
The previous prime is 64657232609. The next prime is 64657232671. The reversal of 64657232640 is 4623275646.
64657232640 is a `hidden beast` number, since 6 + 4 + 6 + 572 + 32 + 6 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (64657232609) and next prime (64657232671).
It is a tau number, because it is divible by the number of its divisors (2160).
It is a super-3 number, since 3×646572326403 (a number of 33 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
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 239 ways as a sum of consecutive naturals, for example, 726485716 + ... + 726485804.
It is an arithmetic number, because the mean of its divisors is an integer number (148023414).
Almost surely, 264657232640 is an apocalyptic number.
64657232640 is a gapful number since it is divisible by the number (60) 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 64657232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159865287120).
64657232640 is an abundant number, since it is smaller than the sum of its proper divisors (255073341600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64657232640 is a wasteful number, since it uses less digits than its factorization.
64657232640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 1451520, while the sum is 45.
The spelling of 64657232640 in words is "sixty-four billion, six hundred fifty-seven million, two hundred thirty-two thousand, six hundred forty".
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