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644042534305446 = 23311926713598249
BaseRepresentation
bin1001001001110000001101011…
…0011110100011111010100110
310010110100212100120022110222000
42102130003112132203322212
51133403443102240233241
610201433020012350130
7252441352251056403
oct22234032636437246
93113325316273860
10644042534305446
111772369a5508931
1260297911775346
1321849c48003393
14b507b79a752aa
154e6d0570d1eb6
hex249c0d67a3ea6

644042534305446 has 16 divisors (see below), whose sum is σ = 1431205631790000. Its totient is φ = 214680844768464.

The previous prime is 644042534305439. The next prime is 644042534305447. The reversal of 644042534305446 is 644503435240446.

644042534305446 is a `hidden beast` number, since 6 + 4 + 4 + 0 + 4 + 2 + 53 + 43 + 0 + 544 + 6 = 666.

644042534305446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6440425343054463 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 11926713598249 = 644042534305446 / (6 + 4 + 4 + 0 + 4 + 2 + 5 + 3 + 4 + 3 + 0 + 5 + 4 + 4 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 644042534305392 and 644042534305401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644042534305447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5963356799071 + ... + 5963356799178.

It is an arithmetic number, because the mean of its divisors is an integer number (89450351986875).

Almost surely, 2644042534305446 is an apocalyptic number.

644042534305446 is an abundant number, since it is smaller than the sum of its proper divisors (787163097484554).

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

644042534305446 is a wasteful number, since it uses less digits than its factorization.

644042534305446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926713598260 (or 11926713598254 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 54.

The spelling of 644042534305446 in words is "six hundred forty-four trillion, forty-two billion, five hundred thirty-four million, three hundred five thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 11926713598249 23853427196498 35780140794747 71560281589494 107340422384241 214680844768482 322021267152723 644042534305446