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13706854590 = 23511213714091
BaseRepresentation
bin11001100001111111…
…00000000010111110
31022101020212100200010
430300333200002332
5211032423321330
610144041244050
7663445225122
oct146077400276
938336770603
1013706854590
1158a4186800
1227a6493626
1313a5971060
149405a9582
1555352a3b0
hex330fe00be

13706854590 has 192 divisors, whose sum is σ = 39498471936. Its totient is φ = 3023328000.

The previous prime is 13706854549. The next prime is 13706854627. The reversal of 13706854590 is 9545860731.

13706854590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 3348445 + ... + 3352535.

It is an arithmetic number, because the mean of its divisors is an integer number (205721208).

Almost surely, 213706854590 is an apocalyptic number.

13706854590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13706854590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749235968).

13706854590 is an abundant number, since it is smaller than the sum of its proper divisors (25791617346).

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

13706854590 is a wasteful number, since it uses less digits than its factorization.

13706854590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 13706854590 in words is "thirteen billion, seven hundred six million, eight hundred fifty-four thousand, five hundred ninety".