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617712340505 = 51350391885943
BaseRepresentation
bin10001111110100101000…
…01100100111000011001
32012001102102202011212112
420333102201210320121
540110033324344010
61151434555122105
762425326155501
oct10772241447031
92161372664775
10617712340505
11218a74570137
129b872743335
13463333c0c70
1421c7c7d0a01
1511104d53a05
hex8fd2864e19

617712340505 has 16 divisors (see below), whose sum is σ = 798433251840. Its totient is φ = 456066038208.

The previous prime is 617712340397. The next prime is 617712340507. The reversal of 617712340505 is 505043217716.

It is a cyclic number.

It is not a de Polignac number, because 617712340505 - 210 = 617712339481 is a prime.

It is a super-2 number, since 2×6177123405052 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (617712340507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615437 + ... + 1270506.

It is an arithmetic number, because the mean of its divisors is an integer number (49902078240).

Almost surely, 2617712340505 is an apocalyptic number.

617712340505 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

617712340505 is a deficient number, since it is larger than the sum of its proper divisors (180720911335).

617712340505 is a wasteful number, since it uses less digits than its factorization.

617712340505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891000.

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 617712340505 in words is "six hundred seventeen billion, seven hundred twelve million, three hundred forty thousand, five hundred five".

Divisors: 1 5 13 65 5039 25195 65507 327535 1885943 9429715 24517259 122586295 9503266777 47516333885 123542468101 617712340505