Search a number
-
+
2813816480 = 25519391121
BaseRepresentation
bin1010011110110111…
…0110111010100000
321021002200200120012
42213231312322200
521230314111410
61143113504052
7126505021406
oct24755667240
97232620505
102813816480
111214364a72
12666412028
1335ac56c87
141c99bd476
15117068605
hexa7b76ea0

2813816480 has 48 divisors (see below), whose sum is σ = 6682158504. Its totient is φ = 1119682560.

The previous prime is 2813816459. The next prime is 2813816497. The reversal of 2813816480 is 846183182.

It can be written as a sum of positive squares in 4 ways, for example, as 2346046096 + 467770384 = 48436^2 + 21628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14681 + ... + 76440.

Almost surely, 22813816480 is an apocalyptic number.

2813816480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813816480 is an abundant number, since it is smaller than the sum of its proper divisors (3868342024).

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

2813816480 is a wasteful number, since it uses less digits than its factorization.

2813816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91329 (or 91321 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 2813816480 is about 53045.4190293563. The cubic root of 2813816480 is about 1411.7742498756.

The spelling of 2813816480 in words is "two billion, eight hundred thirteen million, eight hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1930 3088 3860 6176 7720 15440 30880 91121 182242 364484 455605 728968 911210 1457936 1822420 2915872 3644840 7289680 14579360 17586353 35172706 70345412 87931765 140690824 175863530 281381648 351727060 562763296 703454120 1406908240 2813816480