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13852706340 = 223511237112853
BaseRepresentation
bin11001110011010111…
…11000011000100100
31022202102022101122210
430321223320120210
5211332243100330
610210331323420
71000166026644
oct147153703044
938672271583
1013852706340
115969545340
1228272b0570
1313c9c49a75
14955ad4524
1556123a8b0
hex339af8624

13852706340 has 192 divisors, whose sum is σ = 44778811392. Its totient is φ = 3166732800.

The previous prime is 13852706321. The next prime is 13852706389. The reversal of 13852706340 is 4360725831.

13852706340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1071354 + ... + 1084206.

It is an arithmetic number, because the mean of its divisors is an integer number (233222976).

Almost surely, 213852706340 is an apocalyptic number.

13852706340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13852706340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22389405696).

13852706340 is an abundant number, since it is smaller than the sum of its proper divisors (30926105052).

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

13852706340 is a wasteful number, since it uses less digits than its factorization.

13852706340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 13852706340 in words is "thirteen billion, eight hundred fifty-two million, seven hundred six thousand, three hundred forty".