Search a number
-
+
5816480000 = 285436353
BaseRepresentation
bin1010110101011000…
…00111000100000000
3120000100201210120012
411122230013010000
543403004330000
62401055204052
7264065156432
oct53254070400
916010653505
105816480000
112515284571
121163b16628
13719061956
143d26ba652
15240986735
hex15ab07100

5816480000 has 90 divisors (see below), whose sum is σ = 14508554214. Its totient is φ = 2326528000.

The previous prime is 5816479979. The next prime is 5816480003. The reversal of 5816480000 is 846185.

It can be written as a sum of positive squares in 5 ways, for example, as 2919457024 + 2897022976 = 54032^2 + 53824^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5816480003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 141824 + ... + 178176.

Almost surely, 25816480000 is an apocalyptic number.

5816480000 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 5816480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254277107).

5816480000 is an abundant number, since it is smaller than the sum of its proper divisors (8692074214).

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

5816480000 is an frugal number, since it uses more digits than its factorization.

5816480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36389 (or 36360 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5816480000 is about 76265.8508114871. The cubic root of 5816480000 is about 1798.4018737079.

The spelling of 5816480000 in words is "five billion, eight hundred sixteen million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 36353 40000 72706 80000 145412 160000 181765 290824 363530 581648 727060 908825 1163296 1454120 1817650 2326592 2908240 3635300 4544125 4653184 5816480 7270600 9088250 9306368 11632960 14541200 18176500 22720625 23265920 29082400 36353000 45441250 46531840 58164800 72706000 90882500 116329600 145412000 181765000 232659200 290824000 363530000 581648000 727060000 1163296000 1454120000 2908240000 5816480000