Search a number
-
+
11633072256 = 273413175077
BaseRepresentation
bin10101101010110001…
…01001100010000000
31010000201200022010000
422311120221202000
5142311031303011
65202201040000
7561164324361
oct126530514200
933021608100
1011633072256
114a2a625403
122307a86000
131135132710
147c4dc5b68
15481441356
hex2b5629880

11633072256 has 320 divisors, whose sum is σ = 39483785880. Its totient is φ = 3368189952.

The previous prime is 11633072219. The next prime is 11633072257. The reversal of 11633072256 is 65227033611.

11633072256 is a `hidden beast` number, since 1 + 1 + 6 + 330 + 72 + 256 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11431886400 + 201185856 = 106920^2 + 14184^2 .

It is a super-2 number, since 2×116330722562 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11633072256.

It is not an unprimeable number, because it can be changed into a prime (11633072257) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2288790 + ... + 2293866.

Almost surely, 211633072256 is an apocalyptic number.

11633072256 is a gapful number since it is divisible by the number (16) 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 11633072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19741892940).

11633072256 is an abundant number, since it is smaller than the sum of its proper divisors (27850713624).

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

11633072256 is a wasteful number, since it uses less digits than its factorization.

11633072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 11633072256 in words is "eleven billion, six hundred thirty-three million, seventy-two thousand, two hundred fifty-six".