Search a number
-
+
6644251264 = 27715149109
BaseRepresentation
bin1100011000000011…
…10011101010000000
3122011001022221021011
412030001303222000
5102101412020024
63015145210304
7323436126640
oct61401635200
918131287234
106644251264
1128aa563352
121355190994
1381b6b9231
144705d4520
1528d497094
hex18c073a80

6644251264 has 64 divisors (see below), whose sum is σ = 15228028800. Its totient is φ = 2828620800.

The previous prime is 6644251259. The next prime is 6644251267. The reversal of 6644251264 is 4621524466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6644251267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110742 + ... + 159850.

It is an arithmetic number, because the mean of its divisors is an integer number (237937950).

Almost surely, 26644251264 is an apocalyptic number.

6644251264 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 6644251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614014400).

6644251264 is an abundant number, since it is smaller than the sum of its proper divisors (8583777536).

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

6644251264 is a wasteful number, since it uses less digits than its factorization.

6644251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49281 (or 49269 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 6644251264 is about 81512.2767685948. The cubic root of 6644251264 is about 1879.9603190659.

The spelling of 6644251264 in words is "six billion, six hundred forty-four million, two hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 302 448 604 896 1057 1208 2114 2416 4228 4832 8456 9664 16912 19328 33824 49109 67648 98218 135296 196436 343763 392872 687526 785744 1375052 1571488 2750104 3142976 5500208 6285952 7415459 11000416 14830918 22000832 29661836 44001664 51908213 59323672 103816426 118647344 207632852 237294688 415265704 474589376 830531408 949178752 1661062816 3322125632 6644251264