Search a number
-
+
133231337568 = 2534717617397
BaseRepresentation
bin111110000010100110…
…1001110000001100000
3110201220010021012110000
41330011031032001200
54140324210300233
6141112225540000
712424411453410
oct1740515160140
9421803235400
10133231337568
115155968694a
12219a2aa4600
13c7434960b4
14663c6d0640
1536eb8a1d13
hex1f0534e060

133231337568 has 960 divisors, whose sum is σ = 493557660288. Its totient is φ = 34398535680.

The previous prime is 133231337549. The next prime is 133231337611. The reversal of 133231337568 is 865733132331.

133231337568 is a `hidden beast` number, since 1 + 33 + 23 + 1 + 3 + 37 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1373518896 + ... + 1373518992.

Almost surely, 2133231337568 is an apocalyptic number.

133231337568 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 133231337568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246778830144).

133231337568 is an abundant number, since it is smaller than the sum of its proper divisors (360326322720).

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

133231337568 is a wasteful number, since it uses less digits than its factorization.

133231337568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

Adding to 133231337568 its reverse (865733132331), we get a palindrome (998964469899).

The spelling of 133231337568 in words is "one hundred thirty-three billion, two hundred thirty-one million, three hundred thirty-seven thousand, five hundred sixty-eight".