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134206823520 = 253257111210379
BaseRepresentation
bin111110011111101011…
…0011001110001100000
3110211102002211000121100
41330333112121301200
54144323421323040
6141353113554400
712460525114650
oct1747726316140
9424362730540
10134206823520
1151a0a286990
1222015715a00
13c86a5cc313
1466d209a360
15375733eb30
hex1f3f599c60

134206823520 has 288 divisors, whose sum is σ = 570989502720. Its totient is φ = 27887109120.

The previous prime is 134206823489. The next prime is 134206823533. The reversal of 134206823520 is 25328602431.

134206823520 is a `hidden beast` number, since 1 + 34 + 20 + 6 + 82 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1342068235202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494310 + ... + 716069.

It is an arithmetic number, because the mean of its divisors is an integer number (1982602440).

Almost surely, 2134206823520 is an apocalyptic number.

134206823520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134206823520 is an abundant number, since it is smaller than the sum of its proper divisors (436782679200).

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

134206823520 is a wasteful number, since it uses less digits than its factorization.

134206823520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210418 (or 1210407 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Subtracting from 134206823520 its reverse (25328602431), we obtain a square (108878221089 = 3299672).

The spelling of 134206823520 in words is "one hundred thirty-four billion, two hundred six million, eight hundred twenty-three thousand, five hundred twenty".