Search a number
-
+
11841340752 = 2434171075023
BaseRepresentation
bin10110000011100110…
…01000010101010000
31010120020120102210000
423001303020111100
5143222340401002
65235001010000
7566303510223
oct130163102520
933506512700
1011841340752
11502714562a
122365783900
131169323407
1480491b5ba
1549488061c
hex2c1cc8550

11841340752 has 200 divisors, whose sum is σ = 36634726656. Its totient is φ = 3679478784.

The previous prime is 11841340747. The next prime is 11841340757. The reversal of 11841340752 is 25704314811.

It is an interprime number because it is at equal distance from previous prime (11841340747) and next prime (11841340757).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11841340757) 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, 2354913 + ... + 2359935.

Almost surely, 211841340752 is an apocalyptic number.

11841340752 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 11841340752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317363328).

11841340752 is an abundant number, since it is smaller than the sum of its proper divisors (24793385904).

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

11841340752 is a wasteful number, since it uses less digits than its factorization.

11841340752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11841340752 in words is "eleven billion, eight hundred forty-one million, three hundred forty thousand, seven hundred fifty-two".