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10544338944 = 21134173739
BaseRepresentation
bin10011101000111110…
…11101100000000000
31000012212000220210000
421310133131200000
5133043322321234
64502145440000
7522204254646
oct116437354000
930185026700
1010544338944
114521005a07
122063340000
13cc06c8019
1472057b196
1541aa83899
hex2747dd800

10544338944 has 240 divisors, whose sum is σ = 33356723400. Its totient is φ = 3307143168.

The previous prime is 10544338919. The next prime is 10544338949. The reversal of 10544338944 is 44983344501.

10544338944 is a `hidden beast` number, since 10 + 544 + 3 + 3 + 8 + 94 + 4 = 666.

It is a super-2 number, since 2×105443389442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10544338944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10544338949) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2818227 + ... + 2821965.

Almost surely, 210544338944 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 10544338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678361700).

10544338944 is an abundant number, since it is smaller than the sum of its proper divisors (22812384456).

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

10544338944 is an equidigital number, since it uses as much as digits as its factorization.

10544338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10544338944 in words is "ten billion, five hundred forty-four million, three hundred thirty-eight thousand, nine hundred forty-four".