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428791145346 = 23223821730297
BaseRepresentation
bin1100011110101011111…
…00011010001110000010
31111222210012012002112100
412033111330122032002
524011131013122341
6524552310211230
742656562412164
oct6172574321602
91458705162470
10428791145346
11155938471aa3
126b129353b16
133158642b815
1416a79c54934
15b2493383b6
hex63d5f1a382

428791145346 has 12 divisors (see below), whose sum is σ = 929047481622. Its totient is φ = 142930381776.

The previous prime is 428791145339. The next prime is 428791145359. The reversal of 428791145346 is 643541197824.

428791145346 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 91 + 14 + 534 + 6 = 666.

428791145346 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 427861200321 + 929945025 = 654111^2 + 30495^2 .

It is a junction number, because it is equal to n+sod(n) for n = 428791145292 and 428791145301.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11910865131 + ... + 11910865166.

Almost surely, 2428791145346 is an apocalyptic number.

428791145346 is an abundant number, since it is smaller than the sum of its proper divisors (500256336276).

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

428791145346 is a wasteful number, since it uses less digits than its factorization.

428791145346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23821730305 (or 23821730302 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 428791145346 in words is "four hundred twenty-eight billion, seven hundred ninety-one million, one hundred forty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 23821730297 47643460594 71465190891 142930381782 214395572673 428791145346