Search a number
-
+
1180115209728 = 29327213402043
BaseRepresentation
bin10001001011000100010…
…110010000111000000000
311011211002020222002202200
4101023010112100320000
5123313333443202403
62302045404313200
7151155232526400
oct21130426207000
94154066862680
101180115209728
114155362a7924
1217086a242800
1387390a4a810
1441191672800
1520a6e12aca3
hex112c4590e00

1180115209728 has 360 divisors, whose sum is σ = 4266732958488. Its totient is φ = 311238402048.

The previous prime is 1180115209657. The next prime is 1180115209783. The reversal of 1180115209728 is 8279025110811.

1180115209728 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 11 + 520 + 97 + 28 = 666.

It is a super-2 number, since 2×11801152097282 (a number of 25 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2734275 + ... + 3136317.

Almost surely, 21180115209728 is an apocalyptic number.

1180115209728 is a gapful number since it is divisible by the number (18) 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 1180115209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133366479244).

1180115209728 is an abundant number, since it is smaller than the sum of its proper divisors (3086617748760).

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

1180115209728 is a wasteful number, since it uses less digits than its factorization.

1180115209728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402094 (or 402068 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 1180115209728 in words is "one trillion, one hundred eighty billion, one hundred fifteen million, two hundred nine thousand, seven hundred twenty-eight".