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10644121332 = 223313231132917
BaseRepresentation
bin10011110100111000…
…00110011011110100
31000110210210101111000
421322130012123310
5133244343340312
64520112243300
7524525352465
oct117234063364
930423711430
1010644121332
114572368999
122090840530
131008293760
1472d912d6c
154246e3adc
hex27a7066f4

10644121332 has 192 divisors, whose sum is σ = 31295900160. Its totient is φ = 3103930368.

The previous prime is 10644121321. The next prime is 10644121337. The reversal of 10644121332 is 23312144601.

It is a happy number.

10644121332 is a `hidden beast` number, since 1 + 0 + 6 + 441 + 213 + 3 + 2 = 666.

It is a super-2 number, since 2×106441213322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10644121296 and 10644121305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10644121337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3647538 + ... + 3650454.

It is an arithmetic number, because the mean of its divisors is an integer number (162999480).

Almost surely, 210644121332 is an apocalyptic number.

10644121332 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 10644121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647950080).

10644121332 is an abundant number, since it is smaller than the sum of its proper divisors (20651778828).

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

10644121332 is a wasteful number, since it uses less digits than its factorization.

10644121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10644121332 its reverse (23312144601), we get a palindrome (33956265933).

The spelling of 10644121332 in words is "ten billion, six hundred forty-four million, one hundred twenty-one thousand, three hundred thirty-two".