Search a number
-
+
5663331400 = 23522310311953
BaseRepresentation
bin1010100011000111…
…11001010001001000
3112121200120001011211
411101203321101020
543044303101100
62333544502504
7260225344156
oct52143712110
915550501154
105663331400
112446891781
12112077aa34
136c33cc88c
143ba2123d6
152322d41ba
hex1518f9448

5663331400 has 96 divisors (see below), whose sum is σ = 13874290560. Its totient is φ = 2145623040.

The previous prime is 5663331391. The next prime is 5663331437. The reversal of 5663331400 is 41333665.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467824 + ... + 479776.

It is an arithmetic number, because the mean of its divisors is an integer number (144523860).

Almost surely, 25663331400 is an apocalyptic number.

5663331400 is a gapful number since it is divisible by the number (50) 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 5663331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937145280).

5663331400 is an abundant number, since it is smaller than the sum of its proper divisors (8210959160).

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

5663331400 is a wasteful number, since it uses less digits than its factorization.

5663331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 5663331400 is about 75255.1087966790. The cubic root of 5663331400 is about 1782.4772350770.

The spelling of 5663331400 in words is "five billion, six hundred sixty-three million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 103 115 184 200 206 230 412 460 515 575 824 920 1030 1150 2060 2300 2369 2575 4120 4600 4738 5150 9476 10300 11845 11953 18952 20600 23690 23906 47380 47812 59225 59765 94760 95624 118450 119530 236900 239060 274919 298825 473800 478120 549838 597650 1099676 1195300 1231159 1374595 2199352 2390600 2462318 2749190 4924636 5498380 6155795 6872975 9849272 10996760 12311590 13745950 24623180 27491900 28316657 30778975 49246360 54983800 56633314 61557950 113266628 123115900 141583285 226533256 246231800 283166570 566333140 707916425 1132666280 1415832850 2831665700 5663331400