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34780404799 = 71923103167661
BaseRepresentation
bin100000011001000100…
…101101110000111111
310022202220110121221201
4200121010231300333
51032212240423144
623551120440331
72340614364040
oct403104556077
9108686417851
1034780404799
11138286a49a8
1268a7a790a7
1333838985aa
14197d2a68c7
15d886551d4
hex81912dc3f

34780404799 has 64 divisors (see below), whose sum is σ = 44415221760. Its totient is φ = 26552085120.

The previous prime is 34780404797. The next prime is 34780404821. The reversal of 34780404799 is 99740408743.

It is a cyclic number.

It is not a de Polignac number, because 34780404799 - 21 = 34780404797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34780404797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52617529 + ... + 52618189.

It is an arithmetic number, because the mean of its divisors is an integer number (693987840).

Almost surely, 234780404799 is an apocalyptic number.

34780404799 is a deficient number, since it is larger than the sum of its proper divisors (9634816961).

34780404799 is a wasteful number, since it uses less digits than its factorization.

34780404799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980.

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 34780404799 in words is "thirty-four billion, seven hundred eighty million, four hundred four thousand, seven hundred ninety-nine".

Divisors: 1 7 19 23 103 133 161 167 437 661 721 1169 1957 2369 3059 3173 3841 4627 12559 13699 15203 16583 17201 22211 26887 45011 68083 72979 87913 106421 110387 120407 288857 315077 326819 395623 476581 510853 772709 1293577 1565909 2021999 2097353 2287733 2538901 2769361 7516837 9055039 10961363 11369861 14681471 17772307 29752271 48239119 52617859 79589027 208265897 216027359 261506803 337673833 1512191513 1830547621 4968629257 34780404799