Search a number
-
+
112452912000 = 273253111343127
BaseRepresentation
bin110100010111010110…
…1110100001110000000
3101202021000222211001200
41220232231310032000
53320300421141000
6123354332101200
711060454660252
oct1505655641600
9352230884050
10112452912000
1143766812210
1219964304800
13a7b1750520
14562ac97cd2
152dd2621500
hex1a2eb74380

112452912000 has 1536 divisors, whose sum is σ = 489305456640. Its totient is φ = 24385536000.

The previous prime is 112452911993. The next prime is 112452912007. The reversal of 112452912000 is 219254211.

112452912000 is a `hidden beast` number, since 1 + 1 + 2 + 452 + 9 + 1 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112452911993) and next prime (112452912007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112452912007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 885455937 + ... + 885456063.

It is an arithmetic number, because the mean of its divisors is an integer number (318558240).

Almost surely, 2112452912000 is an apocalyptic number.

112452912000 is a gapful number since it is divisible by the number (10) 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 112452912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244652728320).

112452912000 is an abundant number, since it is smaller than the sum of its proper divisors (376852544640).

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

112452912000 is a wasteful number, since it uses less digits than its factorization.

112452912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 112452912000 in words is "one hundred twelve billion, four hundred fifty-two million, nine hundred twelve thousand".