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10448506208 = 25746645117
BaseRepresentation
bin10011011101100011…
…11000110101100000
3222222011201002222102
421232301320311200
5132344304144313
64444443425532
7516631560140
oct115661706540
928864632872
1010448506208
114481a003a8
1220372252a8
13ca68b326a
14711952920
15412453a58
hex26ec78d60

10448506208 has 24 divisors (see below), whose sum is σ = 23509139472. Its totient is φ = 4477931136.

The previous prime is 10448506181. The next prime is 10448506249. The reversal of 10448506208 is 80260584401.

It is a happy number.

10448506208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104485062082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23322335 + ... + 23322782.

It is an arithmetic number, because the mean of its divisors is an integer number (979547478).

Almost surely, 210448506208 is an apocalyptic number.

It is an amenable number.

10448506208 is an abundant number, since it is smaller than the sum of its proper divisors (13060633264).

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

10448506208 is an equidigital number, since it uses as much as digits as its factorization.

10448506208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46645134 (or 46645126 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 10448506208 in words is "ten billion, four hundred forty-eight million, five hundred six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 46645117 93290234 186580468 326515819 373160936 653031638 746321872 1306063276 1492643744 2612126552 5224253104 10448506208