Search a number
-
+
106065052236 = 2233111326326113
BaseRepresentation
bin110001011000111111…
…0000100001001001100
3101010202212002220211000
41202301332010021030
53214210123132421
6120420422100300
710443251032353
oct1426176041114
9333685086730
10106065052236
1140a88a58670
1218680b7a690
13a004203c50
1451c276499a
152b5b922226
hex18b1f8424c

106065052236 has 192 divisors, whose sum is σ = 324298275840. Its totient is φ = 29554606080.

The previous prime is 106065052193. The next prime is 106065052271. The reversal of 106065052236 is 632250560601.

It is a happy number.

106065052236 is a `hidden beast` number, since 10 + 60 + 65 + 0 + 522 + 3 + 6 = 666.

It is a super-2 number, since 2×1060650522362 (a number of 23 digits) contains 22 as substring.

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 106065052236.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4048716 + ... + 4074828.

It is an arithmetic number, because the mean of its divisors is an integer number (1689053520).

Almost surely, 2106065052236 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 106065052236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162149137920).

106065052236 is an abundant number, since it is smaller than the sum of its proper divisors (218233223604).

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

106065052236 is a wasteful number, since it uses less digits than its factorization.

106065052236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26413 (or 26405 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106065052236 in words is "one hundred six billion, sixty-five million, fifty-two thousand, two hundred thirty-six".