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68058430600 = 235223433371021
BaseRepresentation
bin111111011000100110…
…010011110010001000
320111200002221111100211
4333120212103302020
52103340424234400
651133212210504
74626360054316
oct773046236210
9214602844324
1068058430600
1126955234266
1211234769a34
13655811ab14
143418c0b0b6
151b84e40dba
hexfd8993c88

68058430600 has 192 divisors, whose sum is σ = 169622893440. Its totient is φ = 25333862400.

The previous prime is 68058430567. The next prime is 68058430603. The reversal of 68058430600 is 603485086.

68058430600 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 (40).

It is not an unprimeable number, because it can be changed into a prime (68058430603) 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, 66658090 + ... + 66659110.

It is an arithmetic number, because the mean of its divisors is an integer number (883452570).

Almost surely, 268058430600 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 68058430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84811446720).

68058430600 is an abundant number, since it is smaller than the sum of its proper divisors (101564462840).

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

68058430600 is a wasteful number, since it uses less digits than its factorization.

68058430600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 68058430600 in words is "sixty-eight billion, fifty-eight million, four hundred thirty thousand, six hundred".