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10406050848 = 253260112
BaseRepresentation
bin10011011000011111…
…11011110000100000
3222212012211011011200
421230033323300200
5132302422111343
64440325441200
7515604654444
oct115417736040
928765734150
1010406050848
11445aa43026
122024b70200
13c9ab69c4b
1470a060824
1540d8694d3
hex26c3fbc20

10406050848 has 54 divisors (see below), whose sum is σ = 29597130927. Its totient is φ = 3468106560.

The previous prime is 10406050843. The next prime is 10406050861. The reversal of 10406050848 is 84805060401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10406050848 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 605 + 0 + 8 + 48 = 666.

10406050848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5203025424 + 5203025424 = 72132^2 + 72132^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=72132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10406050841) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1728163 + ... + 1734173.

Almost surely, 210406050848 is an apocalyptic number.

10406050848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10406050848 is an abundant number, since it is smaller than the sum of its proper divisors (19191080079).

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

10406050848 is an frugal number, since it uses more digits than its factorization.

10406050848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10406050848 in words is "ten billion, four hundred six million, fifty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6011 12022 18033 24044 36066 48088 54099 72132 96176 108198 144264 192352 216396 288528 432792 577056 865584 1731168 36132121 72264242 108396363 144528484 216792726 289056968 325189089 433585452 578113936 650378178 867170904 1156227872 1300756356 1734341808 2601512712 3468683616 5203025424 10406050848