Search a number
-
+
331562156112 = 243411731991601
BaseRepresentation
bin1001101001100101010…
…01010000000001010000
31011200211010200200110000
410310302221100001100
520413014402443422
6412152331410000
732645263553235
oct4646251200120
91150733620400
10331562156112
11118684214340
12543135b3900
132535ca39425
1412094c2d78c
15895850dcac
hex4d32a50050

331562156112 has 400 divisors, whose sum is σ = 1067216515200. Its totient is φ = 98537472000.

The previous prime is 331562156089. The next prime is 331562156141. The reversal of 331562156112 is 211651265133.

331562156112 is a `hidden beast` number, since 3 + 3 + 15 + 6 + 21 + 5 + 611 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 207096112 + ... + 207097712.

It is an arithmetic number, because the mean of its divisors is an integer number (2668041288).

Almost surely, 2331562156112 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 331562156112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533608257600).

331562156112 is an abundant number, since it is smaller than the sum of its proper divisors (735654359088).

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

331562156112 is a wasteful number, since it uses less digits than its factorization.

331562156112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1889 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 3315621 and 56112, that added together give a palindrome (3371733).

The spelling of 331562156112 in words is "three hundred thirty-one billion, five hundred sixty-two million, one hundred fifty-six thousand, one hundred twelve".