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428835450672 = 243215119722013
BaseRepresentation
bin1100011110110001001…
…01011010111100110000
31111222220021120001000100
412033120211122330300
524011223333410142
6525000531552400
742660641121216
oct6173045327460
91458807501010
10428835450672
11155960483272
126b14015b700
1331592671ba5
1416a81aa8cb6
15b24d18ab4c
hex63d895af30

428835450672 has 60 divisors (see below), whose sum is σ = 1208091689584. Its totient is φ = 141998486400.

The previous prime is 428835450647. The next prime is 428835450683. The reversal of 428835450672 is 276054538824.

428835450672 is a `hidden beast` number, since 4 + 2 + 8 + 83 + 54 + 506 + 7 + 2 = 666.

428835450672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9839263 + ... + 9882750.

Almost surely, 2428835450672 is an apocalyptic number.

It is an amenable number.

428835450672 is an abundant number, since it is smaller than the sum of its proper divisors (779256238912).

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

428835450672 is a wasteful number, since it uses less digits than its factorization.

428835450672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19722178 (or 19722169 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 428835450672 in words is "four hundred twenty-eight billion, eight hundred thirty-five million, four hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 21744 19722013 39444026 59166039 78888052 118332078 157776104 177498117 236664156 315552208 354996234 473328312 709992468 946656624 1419984936 2839969872 2978023963 5956047926 8934071889 11912095852 17868143778 23824191704 26802215667 35736287556 47648383408 53604431334 71472575112 107208862668 142945150224 214417725336 428835450672