Search a number
-
+
68758000696 = 23721143973823
BaseRepresentation
bin100000000001001001…
…0111101010000111000
320120110212022100010101
41000002102331100320
52111304022010241
651330442325144
74652613235300
oct1000222752070
9216425270111
1068758000696
112718410a670
12113aaab97b4
13663a039618
143483ab2600
151bc657ae31
hex10024bd438

68758000696 has 192 divisors, whose sum is σ = 169178042880. Its totient is φ = 25889310720.

The previous prime is 68758000673. The next prime is 68758000699. The reversal of 68758000696 is 69600085786.

It is a happy number.

68758000696 is a nontrivial binomial coefficient, being equal to C(370832, 2).

It is a super-2 number, since 2×687580006962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68758000699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17983441 + ... + 17987263.

It is an arithmetic number, because the mean of its divisors is an integer number (881135640).

Almost surely, 268758000696 is an apocalyptic number.

68758000696 is the 370831-st triangular number and also the 185416-th hexagonal number.

68758000696 is the 123611-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68758000696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84589021440).

68758000696 is an abundant number, since it is smaller than the sum of its proper divisors (100420042184).

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

68758000696 is a wasteful number, since it uses less digits than its factorization.

68758000696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 68758000696 in words is "sixty-eight billion, seven hundred fifty-eight million, six hundred ninety-six", and thus it is an aban number.