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128267841025 = 528328632
BaseRepresentation
bin111011101110101011…
…0111110111000000001
3110021002012120110012201
41313131112332320001
54100143031403100
6134531520553201
712160411442122
oct1673526767001
9407065513181
10128267841025
114a441941495
1220a38782801
13c1320786ac
1462cb412049
15350ac5b36a
hex1ddd5bee01

128267841025 has 27 divisors (see below), whose sum is σ = 161178266179. Its totient is φ = 101260484720.

The previous prime is 128267841001. The next prime is 128267841041. The reversal of 128267841025 is 520148762821.

The square root of 128267841025 is 358145.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46176422769 + 82091418256 = 214887^2 + 286516^2 .

It is not a de Polignac number, because 128267841025 - 229 = 127730970113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148629744 + ... + 148630606.

Almost surely, 2128267841025 is an apocalyptic number.

128267841025 is the 358145-th square number.

128267841025 is the 179073-rd centered octagonal number.

It is an amenable number.

128267841025 is a deficient number, since it is larger than the sum of its proper divisors (32910425154).

128267841025 is an frugal number, since it uses more digits than its factorization.

128267841025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 128267841025 in words is "one hundred twenty-eight billion, two hundred sixty-seven million, eight hundred forty-one thousand, twenty-five".

Divisors: 1 5 25 83 415 863 2075 4315 6889 21575 34445 71629 172225 358145 744769 1790725 3723845 5945207 18619225 29726035 61815827 148630175 309079135 1545395675 5130713641 25653568205 128267841025