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10240013504 = 26722857173
BaseRepresentation
bin10011000100101101…
…00011010011000000
3222102122101120202102
421202112203103000
5131432420413004
64412035005532
7511520451530
oct114226432300
928378346672
1010240013504
114385247786
121b994398a8
13c726444b6
146d1d9d4c0
153edebd11e
hex2625a34c0

10240013504 has 28 divisors (see below), whose sum is σ = 23222888784. Its totient is φ = 4388577024.

The previous prime is 10240013491. The next prime is 10240013519. The reversal of 10240013504 is 40531004201.

It is a tau number, because it is divible by the number of its divisors (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11428139 + ... + 11429034.

Almost surely, 210240013504 is an apocalyptic number.

10240013504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10240013504 is an abundant number, since it is smaller than the sum of its proper divisors (12982875280).

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

10240013504 is an equidigital number, since it uses as much as digits as its factorization.

10240013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22857192 (or 22857182 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10240013504 its reverse (40531004201), we get a palindrome (50771017705).

The spelling of 10240013504 in words is "ten billion, two hundred forty million, thirteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 22857173 45714346 91428692 160000211 182857384 320000422 365714768 640000844 731429536 1280001688 1462859072 2560003376 5120006752 10240013504