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10044700864 = 261141348001
BaseRepresentation
bin10010101101011010…
…11111100011000000
3221221000212200011221
421112231133203000
5131032420411424
64340420444424
7503626356112
oct112655374300
927830780157
1010044700864
114294a76480
121b43b49714
13c4103b8a3
146b407b3b2
153dbc8c9e4
hex256b5f8c0

10044700864 has 56 divisors (see below), whose sum is σ = 22274912016. Its totient is φ = 4454400000.

The previous prime is 10044700811. The next prime is 10044700901. The reversal of 10044700864 is 46800744001.

10044700864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 145137 + ... + 202864.

It is an arithmetic number, because the mean of its divisors is an integer number (397766286).

Almost surely, 210044700864 is an apocalyptic number.

It is an amenable number.

10044700864 is an abundant number, since it is smaller than the sum of its proper divisors (12230211152).

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

10044700864 is a wasteful number, since it uses less digits than its factorization.

10044700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348065 (or 348055 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 10044700864 in words is "ten billion, forty-four million, seven hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1804 2624 3608 7216 14432 28864 348001 696002 1392004 2784008 3828011 5568016 7656022 11136032 14268041 15312044 22272064 28536082 30624088 57072164 61248176 114144328 122496352 156948451 228288656 244992704 313896902 456577312 627793804 913154624 1255587608 2511175216 5022350432 10044700864