Search a number
-
+
10717337920 = 26533491681
BaseRepresentation
bin10011111101100110…
…11001100101000000
31000122220120011202111
421332303121211000
5133422114303140
64531245425104
7526404604102
oct117663314500
930586504674
1010717337920
1145aa726673
1220b126b194
13101a4ba393
14739531572
1542ad577ea
hex27ecd9940

10717337920 has 28 divisors (see below), whose sum is σ = 25520661684. Its totient is φ = 4286935040.

The previous prime is 10717337881. The next prime is 10717337921. The reversal of 10717337920 is 2973371701.

10717337920 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 2 ways, for example, as 7092334656 + 3625003264 = 84216^2 + 60208^2 .

It is a super-2 number, since 2×107173379202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10717337921) 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 3 ways as a sum of consecutive naturals, for example, 16745521 + ... + 16746160.

It is an arithmetic number, because the mean of its divisors is an integer number (911452203).

Almost surely, 210717337920 is an apocalyptic number.

10717337920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10717337920 is an abundant number, since it is smaller than the sum of its proper divisors (14803323764).

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

10717337920 is an equidigital number, since it uses as much as digits as its factorization.

10717337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33491698 (or 33491688 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 40.

The spelling of 10717337920 in words is "ten billion, seven hundred seventeen million, three hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 33491681 66983362 133966724 167458405 267933448 334916810 535866896 669833620 1071733792 1339667240 2143467584 2679334480 5358668960 10717337920