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5376690966735 = 3251127113907813
BaseRepresentation
bin100111000111101101111…
…0000010101000011001111
3201001000011211121220212200
41032033123300111003033
51201042430341413420
615234003455132543
71063311262102014
oct116173360250317
921030154556780
105376690966735
111793272976200
1272a056b14153
13300034601b1a
14148339db570b
1594cd7b14b90
hex4e3dbc150cf

5376690966735 has 72 divisors (see below), whose sum is σ = 10388135695392. Its totient is φ = 2570163657600.

The previous prime is 5376690966683. The next prime is 5376690966739.

5376690966735 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5376690966735 - 29 = 5376690966223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376690966739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6567312 + ... + 7340501.

It is an arithmetic number, because the mean of its divisors is an integer number (144279662436).

Almost surely, 25376690966735 is an apocalyptic number.

5376690966735 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5376690966735 is a deficient number, since it is larger than the sum of its proper divisors (5011444728657).

5376690966735 is a wasteful number, since it uses less digits than its factorization.

5376690966735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13907917 (or 13907903 counting only the distinct ones).

The product of its (nonzero) digits is 1157360400, while the sum is 72.

The spelling of 5376690966735 in words is "five trillion, three hundred seventy-six billion, six hundred ninety million, nine hundred sixty-six thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 71 99 121 165 213 355 363 495 605 639 781 1065 1089 1815 2343 3195 3905 5445 7029 8591 11715 25773 35145 42955 77319 128865 386595 13907813 41723439 69539065 125170317 152985943 208617195 458957829 625851585 764929715 987454723 1376873487 1682845373 2294789145 2962364169 4937273615 5048536119 6884367435 8414226865 8887092507 10862001953 14811820845 15145608357 25242680595 32586005859 44435462535 54310009765 75728041785 97758017577 119482021483 162930029295 358446064449 488790087885 597410107415 1075338193347 1792230322245 5376690966735