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428765683653 = 32113421598509
BaseRepresentation
bin1100011110101000110…
…11010001111111000101
31111222201102021111122200
412033110123101333011
524011103003334103
6524550000345113
742656133114636
oct6172433217705
91458642244580
10428765683653
1115592506127a
126b120915199
1331581085428
1416a7670788d
15b246ea90a3
hex63d46d1fc5

428765683653 has 12 divisors (see below), whose sum is σ = 624808991820. Its totient is φ = 283314197376.

The previous prime is 428765683607. The next prime is 428765683657. The reversal of 428765683653 is 356386567824.

428765683653 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 6 + 568 + 3 + 65 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16347412449 + 412418271204 = 127857^2 + 642198^2 .

It is not a de Polignac number, because 428765683653 - 210 = 428765682629 is a prime.

It is a super-2 number, since 2×4287656836532 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428765683657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210798238 + ... + 210800271.

It is an arithmetic number, because the mean of its divisors is an integer number (52067415985).

Almost surely, 2428765683653 is an apocalyptic number.

It is an amenable number.

428765683653 is a deficient number, since it is larger than the sum of its proper divisors (196043308167).

428765683653 is a wasteful number, since it uses less digits than its factorization.

428765683653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421598628 (or 421598625 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 428765683653 in words is "four hundred twenty-eight billion, seven hundred sixty-five million, six hundred eighty-three thousand, six hundred fifty-three".

Divisors: 1 3 9 113 339 1017 421598509 1264795527 3794386581 47640631517 142921894551 428765683653