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68348355251680 = 25573137431237309
BaseRepresentation
bin11111000101001100101110…
…11011111000110111100000
322222000001001101122020200001
433202212113123320313200
532424304412421023210
6401210445000305344
720253001646640430
oct1742462733706740
9288001041566601
1068348355251680
111a861413779959
1277ba451a72254
132c1a2b736b2ba
1412c41142262c0
157d7d6e47e03a
hex3e29976f8de0

68348355251680 has 384 divisors, whose sum is σ = 200191927541760. Its totient is φ = 21551727697920.

The previous prime is 68348355251653. The next prime is 68348355251741. The reversal of 68348355251680 is 8615255384386.

It is a super-2 number, since 2×683483552516802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54620866 + ... + 55858174.

It is an arithmetic number, because the mean of its divisors is an integer number (521333144640).

Almost surely, 268348355251680 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 68348355251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100095963770880).

68348355251680 is an abundant number, since it is smaller than the sum of its proper divisors (131843572290080).

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

68348355251680 is a wasteful number, since it uses less digits than its factorization.

68348355251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237442 (or 1237434 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 64.

The spelling of 68348355251680 in words is "sixty-eight trillion, three hundred forty-eight billion, three hundred fifty-five million, two hundred fifty-one thousand, six hundred eighty".