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3671364064 = 251750913259
BaseRepresentation
bin1101101011010100…
…1001000111100000
3100110212022121200211
43122311021013200
530004332122224
61404150023504
7156660036214
oct33265110740
910425277624
103671364064
111614431185
12865647b94
13466808794
1426b848944
151674ab894
hexdad491e0

3671364064 has 48 divisors (see below), whose sum is σ = 7668788400. Its totient is φ = 1724176384.

The previous prime is 3671364043. The next prime is 3671364089. The reversal of 3671364064 is 4604631763.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270267 + ... + 283525.

It is an arithmetic number, because the mean of its divisors is an integer number (159766425).

Almost surely, 23671364064 is an apocalyptic number.

3671364064 is a gapful number since it is divisible by the number (34) 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 3671364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834394200).

3671364064 is an abundant number, since it is smaller than the sum of its proper divisors (3997424336).

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

3671364064 is a wasteful number, since it uses less digits than its factorization.

3671364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13795 (or 13787 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3671364064 is about 60591.7821490670. The cubic root of 3671364064 is about 1542.6798876774.

The spelling of 3671364064 in words is "three billion, six hundred seventy-one million, three hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 509 544 1018 2036 4072 8144 8653 13259 16288 17306 26518 34612 53036 69224 106072 138448 212144 225403 276896 424288 450806 901612 1803224 3606448 6748831 7212896 13497662 26995324 53990648 107981296 114730127 215962592 229460254 458920508 917841016 1835682032 3671364064