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133973465472 = 27327111510343
BaseRepresentation
bin111110011000101110…
…0001101100110000000
3110210210211201012112200
41330301130031212000
54143334201343342
6141314020153200
712451662444540
oct1746134154600
9423724635480
10133973465472
11518aa58a5a0
1221b6b538800
13c831165732
1466ad0b3320
153741ae694c
hex1f3170d980

133973465472 has 192 divisors, whose sum is σ = 480651874560. Its totient is φ = 34798279680.

The previous prime is 133973465413. The next prime is 133973465497. The reversal of 133973465472 is 274564379331.

133973465472 is a `hidden beast` number, since 1 + 3 + 3 + 97 + 3 + 4 + 6 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 666468 + ... + 843875.

It is an arithmetic number, because the mean of its divisors is an integer number (2503395180).

Almost surely, 2133973465472 is an apocalyptic number.

133973465472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133973465472 is an abundant number, since it is smaller than the sum of its proper divisors (346678409088).

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

133973465472 is a wasteful number, since it uses less digits than its factorization.

133973465472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510381 (or 1510366 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 133973465472 in words is "one hundred thirty-three billion, nine hundred seventy-three million, four hundred sixty-five thousand, four hundred seventy-two".