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10676383984 = 2472311293671
BaseRepresentation
bin10011111000101110…
…01011000011110000
31000120001111111112001
421330113023003300
5133331123241414
64523223543344
7525366523630
oct117427130360
930501444461
1010676383984
1145895a4342
12209b5bab54
131011b7b596
14733d106c0
15427468074
hex27c5cb0f0

10676383984 has 80 divisors (see below), whose sum is σ = 24696990720. Its totient is φ = 4371586560.

The previous prime is 10676383933. The next prime is 10676383987. The reversal of 10676383984 is 48938367601.

It is a happy number.

10676383984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106763839842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676383987) 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 15 ways as a sum of consecutive naturals, for example, 2906469 + ... + 2910139.

It is an arithmetic number, because the mean of its divisors is an integer number (308712384).

Almost surely, 210676383984 is an apocalyptic number.

10676383984 is a gapful number since it is divisible by the number (14) 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 10676383984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348495360).

10676383984 is an abundant number, since it is smaller than the sum of its proper divisors (14020606736).

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

10676383984 is a wasteful number, since it uses less digits than its factorization.

10676383984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 10676383984 in words is "ten billion, six hundred seventy-six million, three hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1129 1288 2258 2576 3671 4516 7342 7903 9032 14684 15806 18064 25697 25967 29368 31612 51394 51934 58736 63224 84433 102788 103868 126448 168866 181769 205576 207736 337732 363538 411152 415472 591031 675464 727076 1182062 1350928 1454152 2364124 2908304 4144559 4728248 8289118 9456496 16578236 29011913 33156472 58023826 66312944 95324857 116047652 190649714 232095304 381299428 464190608 667273999 762598856 1334547998 1525197712 2669095996 5338191992 10676383984