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68081080367664 = 2432713171532919937
BaseRepresentation
bin11110111101011010111001…
…00111000111101000110000
322221001111011112210100122200
433132231130213013220300
532410420023033231124
6400444003324103200
720224460431624350
oct1736553447075060
9287044145710580
1068081080367664
111a769029aa7661
1277766a0094b00
132bcb031373160
1412b51db41cb60
157d0e29c90bc9
hex3deb5c9c7a30

68081080367664 has 480 divisors, whose sum is σ = 248324357473920. Its totient is φ = 16897296826368.

The previous prime is 68081080367623. The next prime is 68081080367683. The reversal of 68081080367664 is 46676308018086.

68081080367664 is a `hidden beast` number, since 68 + 0 + 81 + 0 + 80 + 367 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3414800704 + ... + 3414820640.

It is an arithmetic number, because the mean of its divisors is an integer number (517342411404).

Almost surely, 268081080367664 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 68081080367664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124162178736960).

68081080367664 is an abundant number, since it is smaller than the sum of its proper divisors (180243277106256).

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

68081080367664 is a wasteful number, since it uses less digits than its factorization.

68081080367664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35317 (or 35308 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 68081080367664 in words is "sixty-eight trillion, eighty-one billion, eighty million, three hundred sixty-seven thousand, six hundred sixty-four".