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68891662740096 = 27347231071812131
BaseRepresentation
bin11111010101000000101110…
…00101011110101010000000
3100000220222102102112022120000
433222200113011132222000
533012210111130140341
6402304220513320000
720340154424252220
oct1752402705365200
9300828372468500
1068891662740096
111aa50876684399
1278877ba566000
132c595c0873261
141302534dc2080
157e706c12a8b6
hex3ea81715ea80

68891662740096 has 1280 divisors, whose sum is σ = 248261356062720. Its totient is φ = 18539825356800.

The previous prime is 68891662740071. The next prime is 68891662740161. The reversal of 68891662740096 is 69004726619886.

68891662740096 is a `hidden beast` number, since 68 + 8 + 9 + 16 + 62 + 7 + 400 + 96 = 666.

It is a super-2 number, since 2×688916627400962 (a number of 28 digits) contains 22 as substring.

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

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, 32328324951 + ... + 32328327081.

It is an arithmetic number, because the mean of its divisors is an integer number (193954184424).

Almost surely, 268891662740096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68891662740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124130678031360).

68891662740096 is an abundant number, since it is smaller than the sum of its proper divisors (179369693322624).

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

68891662740096 is a wasteful number, since it uses less digits than its factorization.

68891662740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 68891662740096 in words is "sixty-eight trillion, eight hundred ninety-one billion, six hundred sixty-two million, seven hundred forty thousand, ninety-six".