Search a number
-
+
6403648164 = 2233738337657
BaseRepresentation
bin1011111011010111…
…11110101010100100
3121112021121000212020
411331223332222210
5101103313220124
62535232223140
7314455053114
oct57553765244
917467530766
106403648164
112796768711
1212a869aab0
137b08b6a34
1444a683044
152772bc379
hex17dafeaa4

6403648164 has 48 divisors (see below), whose sum is σ = 15386155008. Its totient is φ = 2071381248.

The previous prime is 6403648133. The next prime is 6403648171. The reversal of 6403648164 is 4618463046.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151224 + ... + 188880.

It is an arithmetic number, because the mean of its divisors is an integer number (320544896).

Almost surely, 26403648164 is an apocalyptic number.

It is an amenable number.

6403648164 is an abundant number, since it is smaller than the sum of its proper divisors (8982506844).

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

6403648164 is a wasteful number, since it uses less digits than its factorization.

6403648164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38084 (or 38082 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 6403648164 is about 80022.7977766336. The cubic root of 6403648164 is about 1856.9882430459.

The spelling of 6403648164 in words is "six billion, four hundred three million, six hundred forty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 383 444 766 1149 1532 2298 4596 14171 28342 37657 42513 56684 75314 85026 112971 150628 170052 225942 451884 1393309 2786618 4179927 5573236 8359854 14422631 16719708 28845262 43267893 57690524 86535786 173071572 533637347 1067274694 1600912041 2134549388 3201824082 6403648164