Search a number
-
+
68523358135104 = 263531683208099
BaseRepresentation
bin11111001010010010101100…
…11010111010001101000000
322222121202202122102211200000
433211021112122322031000
532440141314140310404
6401423110211400000
720301435456622515
oct1745112632721500
9288552678384600
1068523358135104
111a9196582a3424
127828351bb3000
132c30956923522
1412cc7964b130c
157dc6b3100339
hex3e52566ba340

68523358135104 has 336 divisors, whose sum is σ = 210563584358400. Its totient is φ = 22071839454720.

The previous prime is 68523358135093. The next prime is 68523358135207. The reversal of 68523358135104 is 40153185332586.

68523358135104 is a `hidden beast` number, since 6 + 8 + 5 + 2 + 3 + 3 + 581 + 3 + 51 + 0 + 4 = 666.

It is a super-3 number, since 3×685233581351043 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329178447 + ... + 329386545.

It is an arithmetic number, because the mean of its divisors is an integer number (626677334400).

Almost surely, 268523358135104 is an apocalyptic number.

68523358135104 is a gapful number since it is divisible by the number (64) 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 68523358135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105281792179200).

68523358135104 is an abundant number, since it is smaller than the sum of its proper divisors (142040226223296).

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

68523358135104 is a wasteful number, since it uses less digits than its factorization.

68523358135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208840 (or 208818 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 68523358135104 in words is "sixty-eight trillion, five hundred twenty-three billion, three hundred fifty-eight million, one hundred thirty-five thousand, one hundred four".