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8145965025 = 32521125472
BaseRepresentation
bin1111001011000100…
…11000111111100001
3210000201001220021100
413211202120333201
5113140331340100
63424152145013
7405602363112
oct74542307741
923021056240
108145965025
113500204100
1216b4098169
139ca85b563
14573c22209
1532a22e400
hex1e5898fe1

8145965025 has 81 divisors (see below), whose sum is σ = 16066675443. Its totient is φ = 3942338400.

The previous prime is 8145964997. The next prime is 8145965041. The reversal of 8145965025 is 5205695418.

The square root of 8145965025 is 90255.

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

8145965025 is a `hidden beast` number, since 8 + 1 + 4 + 596 + 50 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2932547409 + 5213417616 = 54153^2 + 72204^2 .

It is not a de Polignac number, because 8145965025 - 215 = 8145932257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14891802 + ... + 14892348.

Almost surely, 28145965025 is an apocalyptic number.

8145965025 is the 90255-th square number.

8145965025 is the 45128-th centered octagonal number.

It is an amenable number.

8145965025 is a deficient number, since it is larger than the sum of its proper divisors (7920710418).

8145965025 is a wasteful number, since it uses less digits than its factorization.

8145965025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The cubic root of 8145965025 is about 2012.0905145294.

The spelling of 8145965025 in words is "eight billion, one hundred forty-five million, nine hundred sixty-five thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 547 605 825 1089 1641 1815 2475 2735 3025 4923 5445 6017 8205 9075 13675 18051 24615 27225 30085 41025 54153 66187 90255 123075 150425 198561 270765 299209 330935 451275 595683 897627 992805 1353825 1496045 1654675 2692881 2978415 3291299 4488135 4964025 7480225 9873897 13464405 14892075 16456495 22440675 29621691 36204289 49369485 67322025 82282475 108612867 148108455 181021445 246847425 325838601 543064335 740542275 905107225 1629193005 2715321675 8145965025