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1683293816135 = 541181209921613
BaseRepresentation
bin11000011111101100001…
…000010100010101000111
312221220212122021202021102
4120133230020110111013
5210034341204104020
63325143340210315
7232420406234111
oct30375410242507
95856778252242
101683293816135
11599976526368
1223229783999b
13c2970586589
145b686ab23b1
152dbbdd33475
hex187ec214547

1683293816135 has 32 divisors (see below), whose sum is σ = 2081739441600. Its totient is φ = 1305848908800.

The previous prime is 1683293816059. The next prime is 1683293816137. The reversal of 1683293816135 is 5316183923861.

It is not a de Polignac number, because 1683293816135 - 226 = 1683226707271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683293816137) 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 31 ways as a sum of consecutive naturals, for example, 77872589 + ... + 77894201.

It is an arithmetic number, because the mean of its divisors is an integer number (65054357550).

Almost surely, 21683293816135 is an apocalyptic number.

1683293816135 is a deficient number, since it is larger than the sum of its proper divisors (398445625465).

1683293816135 is a wasteful number, since it uses less digits than its factorization.

1683293816135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23939.

The product of its digits is 5598720, while the sum is 56.

The spelling of 1683293816135 in words is "one trillion, six hundred eighty-three billion, two hundred ninety-three million, eight hundred sixteen thousand, one hundred thirty-five".

Divisors: 1 5 41 181 205 905 2099 7421 10495 21613 37105 86059 108065 379919 430295 886133 1899595 3911953 4430665 15576679 19559765 45365687 77883395 160390073 226828435 801950365 1859993167 8211189347 9299965835 41055946735 336658763227 1683293816135