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68735695392 = 253771343251
BaseRepresentation
bin100000000000011110…
…1110111101000100000
320120102022100010000000
41000000331313220200
52111232314223032
651324324300000
74652222525250
oct1000075675040
9216368303000
1068735695392
1127172565331
12113a3541600
136635529b10
143480b47960
151bc4621e7c
hex1000f77a20

68735695392 has 768 divisors, whose sum is σ = 256617123840. Its totient is φ = 17635968000.

The previous prime is 68735695387. The next prime is 68735695393. The reversal of 68735695392 is 29359653786.

68735695392 is a `hidden beast` number, since 6 + 8 + 7 + 35 + 69 + 539 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68735695393) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273847267 + ... + 273847517.

It is an arithmetic number, because the mean of its divisors is an integer number (334136880).

Almost surely, 268735695392 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 68735695392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128308561920).

68735695392 is an abundant number, since it is smaller than the sum of its proper divisors (187881428448).

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

68735695392 is a wasteful number, since it uses less digits than its factorization.

68735695392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 68735695392 in words is "sixty-eight billion, seven hundred thirty-five million, six hundred ninety-five thousand, three hundred ninety-two".