Search a number
-
+
6550044456 = 2334726322079
BaseRepresentation
bin1100001100110100…
…11011111100101000
3121220111001201211010
412012122123330220
5101403302410311
63001542103520
7321213313344
oct60632337450
917814051733
106550044456
11286136938a
12132971aba0
13805023567
14461cb0624
15285088da6
hex18669bf28

6550044456 has 64 divisors (see below), whose sum is σ = 16787865600. Its totient is φ = 2128672448.

The previous prime is 6550044383. The next prime is 6550044481. The reversal of 6550044456 is 6544400556.

It is a super-4 number, since 4×65500444564 (a number of 40 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 285625 + ... + 307703.

It is an arithmetic number, because the mean of its divisors is an integer number (262310400).

Almost surely, 26550044456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6550044456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393932800).

6550044456 is an abundant number, since it is smaller than the sum of its proper divisors (10237821144).

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

6550044456 is a wasteful number, since it uses less digits than its factorization.

6550044456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22398 (or 22394 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 6550044456 is about 80932.3449308124. The cubic root of 6550044456 is about 1871.0328643561.

The spelling of 6550044456 in words is "six billion, five hundred fifty million, forty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 263 282 376 526 564 789 1052 1128 1578 2104 3156 6312 12361 22079 24722 37083 44158 49444 66237 74166 88316 98888 132474 148332 176632 264948 296664 529896 1037713 2075426 3113139 4150852 5806777 6226278 8301704 11613554 12452556 17420331 23227108 24905112 34840662 46454216 69681324 139362648 272918519 545837038 818755557 1091674076 1637511114 2183348152 3275022228 6550044456