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10544394240 = 21233519069
BaseRepresentation
bin10011101000111111…
…01011000000000000
31000012212010201122000
421310133223000000
5133043331103430
64502150544000
7522204605112
oct116437530000
930185121560
1010544394240
114521043506
122063368000
13cc0717243
147205933b2
1541aa94e60
hex2747eb000

10544394240 has 208 divisors, whose sum is σ = 37488568800. Its totient is φ = 2811691008.

The previous prime is 10544394221. The next prime is 10544394257. The reversal of 10544394240 is 4249344501.

10544394240 is a `hidden beast` number, since 1 + 0 + 544 + 3 + 94 + 24 + 0 = 666.

It is a super-2 number, since 2×105443942402 (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 junction number, because it is equal to n+sod(n) for n = 10544394195 and 10544394204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543426 + ... + 562494.

Almost surely, 210544394240 is an apocalyptic number.

10544394240 is a gapful number since it is divisible by the number (10) 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 10544394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18744284400).

10544394240 is an abundant number, since it is smaller than the sum of its proper divisors (26944174560).

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

10544394240 is an equidigital number, since it uses as much as digits as its factorization.

10544394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19107 (or 19079 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10544394240 in words is "ten billion, five hundred forty-four million, three hundred ninety-four thousand, two hundred forty".