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10644212376 = 23337219411291
BaseRepresentation
bin10011110100111000…
…11100101010011000
31000110210222000101000
421322130130222120
5133244404244001
64520114225000
7524526212100
oct117234345230
930423860330
1010644212376
114572420336
122090885160
1310082c6025
1472d938200
15424710a86
hex27a71ca98

10644212376 has 384 divisors, whose sum is σ = 37116576000. Its totient is φ = 2808691200.

The previous prime is 10644212351. The next prime is 10644212377. The reversal of 10644212376 is 67321244601.

10644212376 is a `hidden beast` number, since 1 + 0 + 644 + 2 + 1 + 2 + 3 + 7 + 6 = 666.

10644212376 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 2×106442123762 (a number of 21 digits) contains 22 as substring.

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 10644212376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10644212377) 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 95 ways as a sum of consecutive naturals, for example, 8244291 + ... + 8245581.

It is an arithmetic number, because the mean of its divisors is an integer number (96657750).

Almost surely, 210644212376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10644212376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18558288000).

10644212376 is an abundant number, since it is smaller than the sum of its proper divisors (26472363624).

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

10644212376 is a wasteful number, since it uses less digits than its factorization.

10644212376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 10644212376 its reverse (67321244601), we get a palindrome (77965456977).

The spelling of 10644212376 in words is "ten billion, six hundred forty-four million, two hundred twelve thousand, three hundred seventy-six".