Search a number
-
+
6505128344 = 231113191072797
BaseRepresentation
bin1100000111011110…
…00110000110011000
3121210100112202111102
412003233012012120
5101310303101334
62553255250532
7320126451521
oct60357060630
917710482442
106505128344
112838a80230
121316679a48
137c8928190
14459d3b848
1528116567e
hex183bc6198

6505128344 has 128 divisors (see below), whose sum is σ = 15230073600. Its totient is φ = 2560688640.

The previous prime is 6505128307. The next prime is 6505128361. The reversal of 6505128344 is 4438215056.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 6505128298 and 6505128307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2324354 + ... + 2327150.

It is an arithmetic number, because the mean of its divisors is an integer number (118984950).

Almost surely, 26505128344 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 6505128344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7615036800).

6505128344 is an abundant number, since it is smaller than the sum of its proper divisors (8724945256).

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

6505128344 is a wasteful number, since it uses less digits than its factorization.

6505128344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 6505128344 is about 80654.3758515308. The cubic root of 6505128344 is about 1866.7462596731.

It can be divided in two parts, 650512 and 8344, that added together give a palindrome (658856).

The spelling of 6505128344 in words is "six billion, five hundred five million, one hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 107 143 152 209 214 247 286 418 428 494 572 836 856 988 1144 1177 1391 1672 1976 2033 2354 2717 2782 2797 4066 4708 5434 5564 5594 8132 9416 10868 11128 11188 15301 16264 21736 22363 22376 26429 30602 30767 36361 44726 52858 53143 61204 61534 72722 89452 105716 106286 122408 123068 145444 178904 211432 212572 246136 290719 290888 299279 399971 425144 581438 584573 598558 690859 799942 1162876 1169146 1197116 1381718 1599884 2325752 2338292 2394232 2763436 3199768 3292069 3890627 4676584 5526872 5686301 6584138 7599449 7781254 11372602 13168276 15198898 15562508 22745204 26336552 30397796 31125016 42796897 45490408 60795592 62549311 73921913 85593794 125098622 147843826 171187588 250197244 295687652 342375176 500394488 591375304 813141043 1626282086 3252564172 6505128344