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10044214848 = 263219019173
BaseRepresentation
bin10010101101010111…
…01000111001000000
3221220222221222111100
421112223220321000
5131032304333343
64340402214400
7503622263133
oct112653507100
927828858440
1010044214848
114294774308
121b43954400
13c40bcb5c5
146b3d9221a
153dbbe39d3
hex256ae8e40

10044214848 has 84 divisors (see below), whose sum is σ = 28808213148. Its totient is φ = 3345945600.

The previous prime is 10044214823. The next prime is 10044214849. The reversal of 10044214848 is 84841244001.

It can be written as a sum of positive squares in 2 ways, for example, as 512207424 + 9532007424 = 22632^2 + 97632^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (10044214849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090390 + ... + 1099562.

Almost surely, 210044214848 is an apocalyptic number.

10044214848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10044214848 is an abundant number, since it is smaller than the sum of its proper divisors (18763998300).

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

10044214848 is a wasteful number, since it uses less digits than its factorization.

10044214848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 10044214848 its reverse (84841244001), we get a palindrome (94885458849).

The spelling of 10044214848 in words is "ten billion, forty-four million, two hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1901 3802 5703 7604 9173 11406 15208 17109 18346 22812 27519 30416 34218 36692 45624 55038 60832 68436 73384 82557 91248 110076 121664 136872 146768 165114 182496 220152 273744 293536 330228 364992 440304 547488 587072 660456 880608 1094976 1320912 1761216 2641824 5283648 17437873 34875746 52313619 69751492 104627238 139502984 156940857 209254476 279005968 313881714 418508952 558011936 627763428 837017904 1116023872 1255526856 1674035808 2511053712 3348071616 5022107424 10044214848