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133805806848 = 2833722389193
BaseRepresentation
bin111110010011101110…
…0101001010100000000
3110210101011020021011000
41330213130221110000
54143013241304343
6141245230452000
712444555410100
oct1744734512400
9423334207130
10133805806848
115182398714a
1221b23364000
13c8054c304c
146694b0d200
153732029ed3
hex1f27729500

133805806848 has 864 divisors, whose sum is σ = 488215123200. Its totient is φ = 35969826816.

The previous prime is 133805806847. The next prime is 133805806861. The reversal of 133805806848 is 848608508331.

133805806848 is a `hidden beast` number, since 13 + 3 + 8 + 0 + 580 + 6 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 133805806794 and 133805806803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133805806843) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 693294240 + ... + 693294432.

It is an arithmetic number, because the mean of its divisors is an integer number (565063800).

Almost surely, 2133805806848 is an apocalyptic number.

133805806848 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 133805806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244107561600).

133805806848 is an abundant number, since it is smaller than the sum of its proper divisors (354409316352).

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

133805806848 is a wasteful number, since it uses less digits than its factorization.

133805806848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 133805806848 in words is "one hundred thirty-three billion, eight hundred five million, eight hundred six thousand, eight hundred forty-eight".