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68071385088 = 2113271373851
BaseRepresentation
bin111111011001010111…
…101110100000000000
320111201000022122120200
4333121113232200000
52103402233310323
651134354005200
74626605140440
oct773127564000
9214630278520
1068071385088
1126961582153
1211238b76800
13655aa053b5
14341a820120
151b8614e443
hexfd95ee800

68071385088 has 288 divisors, whose sum is σ = 226387586880. Its totient is φ = 19301990400.

The previous prime is 68071385077. The next prime is 68071385099. The reversal of 68071385088 is 88058317086.

It is a happy number.

68071385088 is a `hidden beast` number, since 68 + 0 + 71 + 3 + 8 + 508 + 8 = 666.

68071385088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (68071385077) and next prime (68071385099).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17674363 + ... + 17678213.

It is an arithmetic number, because the mean of its divisors is an integer number (786068010).

Almost surely, 268071385088 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 68071385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113193793440).

68071385088 is an abundant number, since it is smaller than the sum of its proper divisors (158316201792).

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

68071385088 is a wasteful number, since it uses less digits than its factorization.

68071385088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 68071385088 in words is "sixty-eight billion, seventy-one million, three hundred eighty-five thousand, eighty-eight".