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68015469231360 = 2832572313886847
BaseRepresentation
bin11110111011100000101011…
…11000011111110100000000
322220211012210222212021221100
433131300111320133310000
532403331140110400420
6400353513013454400
720216645506311600
oct1735602570376400
9286735728767840
1068015469231360
111a743220248872
127765a2b041400
132bc4aa628c991
1412b1d75662c00
157ce389b19190
hex3ddc15e1fd00

68015469231360 has 648 divisors, whose sum is σ = 282577705353216. Its totient is φ = 15044892549120.

The previous prime is 68015469231319. The next prime is 68015469231371. The reversal of 68015469231360 is 6313296451086.

68015469231360 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 5 + 46 + 9 + 231 + 360 = 666.

It is a super-2 number, since 2×680154692313602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68015469231297 and 68015469231306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15555457 + ... + 19442303.

It is an arithmetic number, because the mean of its divisors is an integer number (436076705792).

Almost surely, 268015469231360 is an apocalyptic number.

68015469231360 is a gapful number since it is divisible by the number (60) 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 68015469231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141288852676608).

68015469231360 is an abundant number, since it is smaller than the sum of its proper divisors (214562236121856).

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

68015469231360 is a wasteful number, since it uses less digits than its factorization.

68015469231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886919 (or 3886895 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 68015469231360 in words is "sixty-eight trillion, fifteen billion, four hundred sixty-nine million, two hundred thirty-one thousand, three hundred sixty".