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106691278694733 = 3231716853978583
BaseRepresentation
bin11000010000100011111111…
…110001000110100101001101
3111222202120211122200021012200
4120100203333301012211031
5102441012214321212413
61014525144035152113
731321122226462125
oct3020437761064515
9458676748607180
10106691278694733
1130aa4576429517
12bb71599445639
13476bc37b40bc5
141c4bc57919c85
15c50441d34573
hex6108ffc4694d

106691278694733 has 48 divisors (see below), whose sum is σ = 161325885726720. Its totient is φ = 67861749261600.

The previous prime is 106691278694729. The next prime is 106691278694771. The reversal of 106691278694733 is 337496872196601.

106691278694733 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 91 + 2 + 7 + 8 + 69 + 473 + 3 = 666.

It is not a de Polignac number, because 106691278694733 - 22 = 106691278694729 is a prime.

It is a super-2 number, since 2×1066912786947332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106691278694633) 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 47 ways as a sum of consecutive naturals, for example, 1357649760 + ... + 1357728342.

It is an arithmetic number, because the mean of its divisors is an integer number (3360955952640).

Almost surely, 2106691278694733 is an apocalyptic number.

It is an amenable number.

106691278694733 is a deficient number, since it is larger than the sum of its proper divisors (54634607031987).

106691278694733 is a wasteful number, since it uses less digits than its factorization.

106691278694733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147230 (or 147227 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 106691278694733 in words is "one hundred six trillion, six hundred ninety-one billion, two hundred seventy-eight million, six hundred ninety-four thousand, seven hundred thirty-three".

Divisors: 1 3 9 31 71 93 213 279 639 2201 6603 19809 68539 78583 205617 235749 616851 707247 2124709 2436073 4866269 5579393 6374127 7308219 14598807 16738179 19122381 21924657 43796421 50214537 150854339 172961183 452563017 518883549 1357689051 1556650647 5386000237 16158000711 48474002133 166966007347 382406016827 500898022041 1147218050481 1502694066123 3441654151443 11854586521637 35563759564911 106691278694733