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13820807736 = 2337789941
BaseRepresentation
bin11001101111100100…
…01100101000111000
31022200012021210000000
430313302030220320
5211301111321421
610203231513000
7666330633051
oct146762145070
938605253000
1013820807736
11595253845a
122818688760
1313c345b858
1495178d728
1555d539226
hex337c8ca38

13820807736 has 64 divisors (see below), whose sum is σ = 38865146400. Its totient is φ = 4606930080.

The previous prime is 13820807723. The next prime is 13820807753. The reversal of 13820807736 is 63770802831.

13820807736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13820807691 and 13820807700.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 377475 + ... + 412466.

Almost surely, 213820807736 is an apocalyptic number.

It is an amenable number.

13820807736 is an abundant number, since it is smaller than the sum of its proper divisors (25044338664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13820807736 is an frugal number, since it uses more digits than its factorization.

13820807736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789968 (or 789946 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13820807736 in words is "thirteen billion, eight hundred twenty million, eight hundred seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 789941 1579882 2369823 3159764 4739646 6319528 7109469 9479292 14218938 18958584 21328407 28437876 42656814 56875752 63985221 85313628 127970442 170627256 191955663 255940884 383911326 511881768 575866989 767822652 1151733978 1535645304 1727600967 2303467956 3455201934 4606935912 6910403868 13820807736