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138794543160 = 2335713411512053
BaseRepresentation
bin1000000101000011001…
…1001010100000111000
3111021020211102022211120
42001100303022200320
54233222400340120
6143432240425240
713012313102610
oct2012063124070
9437224368746
10138794543160
11539539a0619
1222a96018220
131011bc09b20
146a094bba40
153924ea9140
hex2050cca838

138794543160 has 512 divisors, whose sum is σ = 528705515520. Its totient is φ = 28366848000.

The previous prime is 138794543143. The next prime is 138794543207. The reversal of 138794543160 is 61345497831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67604694 + ... + 67606746.

It is an arithmetic number, because the mean of its divisors is an integer number (1032627960).

Almost surely, 2138794543160 is an apocalyptic number.

138794543160 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 138794543160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264352757760).

138794543160 is an abundant number, since it is smaller than the sum of its proper divisors (389910972360).

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

138794543160 is a wasteful number, since it uses less digits than its factorization.

138794543160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 138794543160 in words is "one hundred thirty-eight billion, seven hundred ninety-four million, five hundred forty-three thousand, one hundred sixty".