Search a number
-
+
11454556932 = 223272134571093
BaseRepresentation
bin10101010101011111…
…01010101100000100
31002120021202210010100
422222233222230010
5141424331310212
65132342524100
7553566061500
oct125257525404
932507683110
1011454556932
114948887185
122278136630
13110715b550
147a93d7300
1547092cbdc
hex2aabeab04

11454556932 has 216 divisors, whose sum is σ = 36385394136. Its totient is φ = 3011613696.

The previous prime is 11454556931. The next prime is 11454556951. The reversal of 11454556932 is 23965545411.

It is a happy number.

11454556932 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 556 + 93 + 2 = 666.

11454556932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5140029636 + 6314527296 = 71694^2 + 79464^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11454556931) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10479378 + ... + 10480470.

Almost surely, 211454556932 is an apocalyptic number.

11454556932 is a gapful number since it is divisible by the number (12) 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 11454556932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192697068).

11454556932 is an abundant number, since it is smaller than the sum of its proper divisors (24930837204).

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

11454556932 is a wasteful number, since it uses less digits than its factorization.

11454556932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1575 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 11454556932 in words is "eleven billion, four hundred fifty-four million, five hundred fifty-six thousand, nine hundred thirty-two".