Search a number
-
+
81240053200 = 2452630132233
BaseRepresentation
bin100101110101001001…
…0001101010111010000
321202200202111022012021
41023222102031113100
52312334423200300
6101153212141224
75604130026025
oct1135222152720
9252622438167
1081240053200
11314a998a439
12138b3167814
1378790110c7
143d0973354c
1521a72bbd1a
hex12ea48d5d0

81240053200 has 60 divisors (see below), whose sum is σ = 195216259948. Its totient is φ = 32489856000.

The previous prime is 81240053189. The next prime is 81240053261. The reversal of 81240053200 is 235004218.

It can be written as a sum of positive squares in 6 ways, for example, as 124456336 + 81115596864 = 11156^2 + 284808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2504284 + ... + 2536516.

Almost surely, 281240053200 is an apocalyptic number.

81240053200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81240053200 is an abundant number, since it is smaller than the sum of its proper divisors (113976206748).

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

81240053200 is a wasteful number, since it uses less digits than its factorization.

81240053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38552 (or 38541 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 81240053200 its reverse (235004218), we get a palindrome (81475057418).

The spelling of 81240053200 in words is "eighty-one billion, two hundred forty million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6301 12602 25204 31505 32233 50408 63010 64466 100816 126020 128932 157525 161165 252040 257864 315050 322330 504080 515728 630100 644660 805825 1260200 1289320 1611650 2520400 2578640 3223300 6446600 12893200 203100133 406200266 812400532 1015500665 1624801064 2031001330 3249602128 4062002660 5077503325 8124005320 10155006650 16248010640 20310013300 40620026600 81240053200