Search a number
-
+
112602752136 = 233272315676199
BaseRepresentation
bin110100011011110100…
…1011010010010001000
3101202122110221111002100
41220313221122102020
53321102301032021
6123421243433400
711064254413050
oct1506751322210
9352573844070
10112602752136
1143833355336
12199a6525860
13a8067c4724
145642b40560
152de086d626
hex1a37a5a488

112602752136 has 192 divisors, whose sum is σ = 363976704000. Its totient is φ = 30748823424.

The previous prime is 112602752107. The next prime is 112602752191. The reversal of 112602752136 is 631257206211.

112602752136 is a `hidden beast` number, since 1 + 12 + 602 + 7 + 5 + 2 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112602752136.

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 47 ways as a sum of consecutive naturals, for example, 18161565 + ... + 18167763.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712000).

Almost surely, 2112602752136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112602752136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352000).

112602752136 is an abundant number, since it is smaller than the sum of its proper divisors (251373951864).

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

112602752136 is a wasteful number, since it uses less digits than its factorization.

112602752136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 112602752136 its reverse (631257206211), we get a palindrome (743859958347).

The spelling of 112602752136 in words is "one hundred twelve billion, six hundred two million, seven hundred fifty-two thousand, one hundred thirty-six".