Search a number
-
+
11940369984 = 26322921572
BaseRepresentation
bin10110001111011001…
…11001011001000000
31010211010220122100100
423013230321121000
5143423213314414
65252455322400
7601615320204
oct130754713100
933733818310
1011940369984
115078033774
122392980400
1311839b70aa
14813b38b04
1549d3e2609
hex2c7b39640

11940369984 has 189 divisors, whose sum is σ = 35672986947. Its totient is φ = 3818400768.

The previous prime is 11940369979. The next prime is 11940369997. The reversal of 11940369984 is 48996304911.

It is a happy number.

The square root of 11940369984 is 109272.

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

11940369984 is a `hidden beast` number, since 1 + 194 + 0 + 369 + 98 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 421070400 + 11519299584 = 20520^2 + 107328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11940369984.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76053234 + ... + 76053390.

Almost surely, 211940369984 is an apocalyptic number.

11940369984 is the 109272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11940369984

11940369984 is an abundant number, since it is smaller than the sum of its proper divisors (23732616963).

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

11940369984 is an equidigital number, since it uses as much as digits as its factorization.

11940369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

It can be divided in two parts, 11940 and 369984, that added together give a square (381924 = 6182).

The spelling of 11940369984 in words is "eleven billion, nine hundred forty million, three hundred sixty-nine thousand, nine hundred eighty-four".