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133494988241664 = 2832731797391277
BaseRepresentation
bin11110010110100110111001…
…010110100111101100000000
3122111122222220020222120111100
4132112212321112213230000
5114444140213442213124
61151530430113214400
740055460153456000
oct3626467126475400
9574588806876440
10133494988241664
11395989a7723165
1212b80281561400
1359646a5b1827a
1424d7298836000
15106779e9451c9
hex7969b95a7b00

133494988241664 has 864 divisors, whose sum is σ = 452334093120000. Its totient is φ = 37847359807488.

The previous prime is 133494988241663. The next prime is 133494988241687. The reversal of 133494988241664 is 466142889494331.

133494988241664 is a `hidden beast` number, since 1 + 3 + 3 + 49 + 4 + 98 + 82 + 416 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133494988241592 and 133494988241601.

It is not an unprimeable number, because it can be changed into a prime (133494988241663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104537969794 + ... + 104537971070.

It is an arithmetic number, because the mean of its divisors is an integer number (523534830000).

Almost surely, 2133494988241664 is an apocalyptic number.

133494988241664 is a gapful number since it is divisible by the number (14) 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 133494988241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226167046560000).

133494988241664 is an abundant number, since it is smaller than the sum of its proper divisors (318839104878336).

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

133494988241664 is a wasteful number, since it uses less digits than its factorization.

133494988241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2207 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 133494988241664 in words is "one hundred thirty-three trillion, four hundred ninety-four billion, nine hundred eighty-eight million, two hundred forty-one thousand, six hundred sixty-four".