Search a number
-
+
112408655076 = 22321721921732
BaseRepresentation
bin110100010110000010…
…0111111010011100100
3101202010221201022222100
41220230010333103210
53320203103430301
6123350111332100
711056406542314
oct1505404772344
9352127638870
10112408655076
1143743834343
1219951521030
13a7a55261b3
145625057444
152dcd7cd286
hex1a2c13f4e4

112408655076 has 243 divisors, whose sum is σ = 320416241691. Its totient is φ = 33216265728.

The previous prime is 112408655071. The next prime is 112408655213. The reversal of 112408655076 is 670556804211.

The square root of 112408655076 is 335274.

It is a perfect power (a square), and thus also a powerful number.

112408655076 is a `hidden beast` number, since 1 + 1 + 24 + 0 + 8 + 6 + 550 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55096295076 + 57312360000 = 234726^2 + 239400^2 .

It is not an unprimeable number, because it can be changed into a prime (112408655071) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 649760926 + ... + 649761098.

Almost surely, 2112408655076 is an apocalyptic number.

112408655076 is the 335274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112408655076

112408655076 is an abundant number, since it is smaller than the sum of its proper divisors (208007586615).

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

112408655076 is a wasteful number, since it uses less digits than its factorization.

112408655076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 112408655076 in words is "one hundred twelve billion, four hundred eight million, six hundred fifty-five thousand, seventy-six".