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10544002432 = 27972633229
BaseRepresentation
bin10011101000111100…
…01011010110000000
31000012211101211011121
421310132023112000
5133043231034212
64502134322024
7522201353605
oct116436132600
930184354147
1010544002432
1145208a60a7
1220631b9314
13cc060aac2
147204d06ac
1541aa18d07
hex27478b580

10544002432 has 64 divisors (see below), whose sum is σ = 21309472800. Its totient is φ = 5196201984.

The previous prime is 10544002421. The next prime is 10544002451. The reversal of 10544002432 is 23420044501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105440024322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10544002397 and 10544002406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3263794 + ... + 3267022.

Almost surely, 210544002432 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 10544002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654736400).

10544002432 is an abundant number, since it is smaller than the sum of its proper divisors (10765470368).

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

10544002432 is an equidigital number, since it uses as much as digits as its factorization.

10544002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10544002432 its reverse (23420044501), we get a palindrome (33964046933).

The spelling of 10544002432 in words is "ten billion, five hundred forty-four million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 263 388 526 776 1052 1552 2104 3104 3229 4208 6208 6458 8416 12416 12916 16832 25511 25832 33664 51022 51664 102044 103328 204088 206656 313213 408176 413312 626426 816352 849227 1252852 1632704 1698454 2505704 3265408 3396908 5011408 6793816 10022816 13587632 20045632 27175264 40091264 54350528 82375019 108701056 164750038 329500076 659000152 1318000304 2636000608 5272001216 10544002432