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68215410432 = 28321379127227
BaseRepresentation
bin111111100001111101…
…001000111100000000
320112002001022220012200
4333201331020330000
52104201121113212
651200540553200
74633304264421
oct774175107400
9215061286180
1068215410432
1126a25903564
1211279252800
1365817c19b0
1434319d1648
151b93aed6dc
hexfe1f48f00

68215410432 has 432 divisors, whose sum is σ = 217133629440. Its totient is φ = 20469915648.

The previous prime is 68215410427. The next prime is 68215410433. The reversal of 68215410432 is 23401451286.

It is a happy number.

68215410432 is a `hidden beast` number, since 6 + 8 + 215 + 4 + 1 + 0 + 432 = 666.

68215410432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68215410433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300508303 + ... + 300508529.

Almost surely, 268215410432 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 68215410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108566814720).

68215410432 is an abundant number, since it is smaller than the sum of its proper divisors (148918219008).

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

68215410432 is a wasteful number, since it uses less digits than its factorization.

68215410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 68215410432 in words is "sixty-eight billion, two hundred fifteen million, four hundred ten thousand, four hundred thirty-two".