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432128673252 = 22341333730473
BaseRepresentation
bin1100100100111001110…
…00000100010111100100
31112022101210100002010000
412102130320010113210
524034444420021002
6530303413101300
743135360055223
oct6223470042744
91468353302100
10432128673252
111572a0409121
126b8bb027830
1331998a203c3
1416cb51dccba
15b39235061c
hex649ce045e4

432128673252 has 30 divisors (see below), whose sum is σ = 1129669711478. Its totient is φ = 144042890976.

The previous prime is 432128673241. The next prime is 432128673281. The reversal of 432128673252 is 252376821234.

432128673252 is a `hidden beast` number, since 4 + 321 + 2 + 8 + 6 + 73 + 252 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426766919076 + 5361754176 = 653274^2 + 73224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 432128673198 and 432128673207.

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 9 ways as a sum of consecutive naturals, for example, 666864913 + ... + 666865560.

Almost surely, 2432128673252 is an apocalyptic number.

It is an amenable number.

432128673252 is an abundant number, since it is smaller than the sum of its proper divisors (697541038226).

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

432128673252 is a wasteful number, since it uses less digits than its factorization.

432128673252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333730489 (or 1333730478 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 432128673252 in words is "four hundred thirty-two billion, one hundred twenty-eight million, six hundred seventy-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1333730473 2667460946 4001191419 5334921892 8002382838 12003574257 16004765676 24007148514 36010722771 48014297028 72021445542 108032168313 144042891084 216064336626 432128673252