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845243035641 = 323064572
BaseRepresentation
bin11000100110011000110…
…10010010111111111001
32222210201102220002021100
430103030122102333321
5102322024204120031
61444144351402013
7115031624155014
oct14231432227771
92883642802240
10845243035641
112a6513727044
12117992223309
1361924332294
142cca4dba37b
1516ec023ade6
hexc4cc692ff9

845243035641 has 9 divisors (see below), whose sum is σ = 1220910590991. Its totient is φ = 563493518352.

The previous prime is 845243035631. The next prime is 845243035643. The reversal of 845243035641 is 146530342548.

The square root of 845243035641 is 919371.

It is a perfect power (a square), and thus also a powerful number.

845243035641 is a `hidden beast` number, since 8 + 4 + 52 + 4 + 30 + 3 + 564 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 365692325625 + 479550710016 = 604725^2 + 692496^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 845243035641 - 231 = 843095551993 is a prime.

It is a super-2 number, since 2×8452430356412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (845243035643) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2604885 + ... + 2911341.

Almost surely, 2845243035641 is an apocalyptic number.

845243035641 is the 919371-st square number.

845243035641 is the 459686-th centered octagonal number.

It is an amenable number.

845243035641 is a deficient number, since it is larger than the sum of its proper divisors (375667555350).

845243035641 is an frugal number, since it uses more digits than its factorization.

845243035641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612920 (or 306460 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 845243035641 in words is "eight hundred forty-five billion, two hundred forty-three million, thirty-five thousand, six hundred forty-one".

Divisors: 1 3 9 306457 919371 2758113 93915892849 281747678547 845243035641