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133423250688 = 28327131933493
BaseRepresentation
bin111110001000010100…
…1010011110100000000
3110202101111101101202100
41330100221103310000
54141222323010223
6141143243150400
712432231630030
oct1742051236400
9422344341670
10133423250688
1151647a46032
1221a37215400
13c77417b560
146659da98c0
15370d660043
hex1f10a53d00

133423250688 has 432 divisors, whose sum is σ = 498401438080. Its totient is φ = 33335525376.

The previous prime is 133423250659. The next prime is 133423250689. The reversal of 133423250688 is 886052324331.

133423250688 is a `hidden beast` number, since 1 + 3 + 34 + 2 + 32 + 506 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133423250689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3966870 + ... + 4000362.

Almost surely, 2133423250688 is an apocalyptic number.

133423250688 is a gapful number since it is divisible by the number (18) 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 133423250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249200719040).

133423250688 is an abundant number, since it is smaller than the sum of its proper divisors (364978187392).

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

133423250688 is a wasteful number, since it uses less digits than its factorization.

133423250688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33554 (or 33537 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 133423250688 in words is "one hundred thirty-three billion, four hundred twenty-three million, two hundred fifty thousand, six hundred eighty-eight".