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128949471225 = 32521942617079
BaseRepresentation
bin111100000010111111…
…1001100011111111001
3110022211201011212001200
41320011333030133321
54103042031034400
6135123310404413
712213326264151
oct1700577143771
9408751155050
10128949471225
114a761684333
1220ba8b00709
13c210355683
146353b67761
15354aa00b00
hex1e05fcc7f9

128949471225 has 72 divisors (see below), whose sum is σ = 243210177600. Its totient is φ = 65128924800.

The previous prime is 128949471169. The next prime is 128949471241. The reversal of 128949471225 is 522174949821.

128949471225 is a `hidden beast` number, since 1 + 2 + 89 + 494 + 71 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 128949471225 - 27 = 128949471097 is a prime.

It is a super-2 number, since 2×1289494712252 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18212236 + ... + 18219314.

Almost surely, 2128949471225 is an apocalyptic number.

128949471225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128949471225 is a deficient number, since it is larger than the sum of its proper divisors (114260706375).

128949471225 is a wasteful number, since it uses less digits than its factorization.

128949471225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375 (or 11367 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 128949471225 in words is "one hundred twenty-eight billion, nine hundred forty-nine million, four hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 855 1425 4261 4275 7079 12783 21237 21305 35395 38349 63711 63915 80959 106185 106525 134501 176975 191745 242877 318555 319575 403503 404795 530925 672505 728631 958725 1210509 1214385 1592775 2017515 2023975 3362525 3643155 6052545 6071925 10087575 18215775 30163619 30262725 90490857 150818095 271472571 452454285 573108761 754090475 1357362855 1719326283 2262271425 2865543805 5157978849 6786814275 8596631415 14327719025 25789894245 42983157075 128949471225