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6364079104 = 21014334337
BaseRepresentation
bin1011110110101010…
…00010010000000000
3121102112010201022111
411323111002100000
5101013201012404
62531300145104
7313464531325
oct57325022000
917375121274
106364079104
1127763a1909
121297398194
137a56413a6
14445302b4c
15273aa3104
hex17b542400

6364079104 has 44 divisors (see below), whose sum is σ = 12733756524. Its totient is φ = 3179085824.

The previous prime is 6364079101. The next prime is 6364079119. The reversal of 6364079104 is 4019704636.

It can be written as a sum of positive squares in 2 ways, for example, as 2185749504 + 4178329600 = 46752^2 + 64640^2 .

It is not an unprimeable number, because it can be changed into a prime (6364079101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1465224 + ... + 1469560.

Almost surely, 26364079104 is an apocalyptic number.

6364079104 is a gapful number since it is divisible by the number (64) 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 6364079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366878262).

6364079104 is an abundant number, since it is smaller than the sum of its proper divisors (6369677420).

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

6364079104 is a wasteful number, since it uses less digits than its factorization.

6364079104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 6364079104 is about 79775.1784955697. The cubic root of 6364079104 is about 1853.1554722379.

The spelling of 6364079104 in words is "six billion, three hundred sixty-four million, seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1433 2866 4337 5732 8674 11464 17348 22928 34696 45856 69392 91712 138784 183424 277568 366848 555136 733696 1110272 1467392 2220544 4441088 6214921 12429842 24859684 49719368 99438736 198877472 397754944 795509888 1591019776 3182039552 6364079104