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6550040736 = 2532373449
BaseRepresentation
bin1100001100110100…
…11011000010100000
3121220111001112201100
412012122123002200
5101403302300421
63001542034400
7321213266451
oct60632330240
917814045640
106550040736
112861366608
121329718a00
13805021965
14461cad128
15285087c26
hex18669b0a0

6550040736 has 144 divisors (see below), whose sum is σ = 19186713000. Its totient is φ = 2119606272.

The previous prime is 6550040681. The next prime is 6550040797. The reversal of 6550040736 is 6370400556.

It can be written as a sum of positive squares in 4 ways, for example, as 6535752336 + 14288400 = 80844^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6550040736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14587840 + ... + 14588288.

Almost surely, 26550040736 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 6550040736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593356500).

6550040736 is an abundant number, since it is smaller than the sum of its proper divisors (12636672264).

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

6550040736 is an equidigital number, since it uses as much as digits as its factorization.

6550040736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 6550040736 is about 80932.3219486504. The cubic root of 6550040736 is about 1871.0325101477.

The spelling of 6550040736 in words is "six billion, five hundred fifty million, forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 449 592 666 888 898 1184 1332 1347 1369 1776 1796 2664 2694 2738 3552 3592 4041 4107 5328 5388 5476 7184 8082 8214 10656 10776 10952 12321 14368 16164 16428 16613 21552 21904 24642 32328 32856 33226 43104 43808 49284 49839 50653 64656 65712 66452 98568 99678 101306 129312 131424 132904 149517 151959 197136 199356 202612 265808 299034 303918 394272 398712 405224 455877 531616 598068 607836 614681 797424 810448 911754 1196136 1215672 1229362 1594848 1620896 1823508 1844043 2392272 2431344 2458724 3647016 3688086 4784544 4862688 4917448 5532129 7294032 7376172 9834896 11064258 14588064 14752344 19669792 22128516 22743197 29504688 44257032 45486394 59009376 68229591 88514064 90972788 136459182 177028128 181945576 204688773 272918364 363891152 409377546 545836728 727782304 818755092 1091673456 1637510184 2183346912 3275020368 6550040736