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68777699328 = 21132131915107
BaseRepresentation
bin100000000001101111…
…0000110100000000000
320120112020101010120100
41000003132012200000
52111324042334303
651332424442400
74653242540562
oct1000336064000
9216466333510
1068777699328
1127194244528
12113b5619400
136641145810
14348655d332
151bc816c8a3
hex1003786800

68777699328 has 288 divisors, whose sum is σ = 225196826400. Its totient is φ = 20047233024.

The previous prime is 68777699321. The next prime is 68777699339. The reversal of 68777699328 is 82399677786.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (68777699321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4545151 + ... + 4560257.

It is an arithmetic number, because the mean of its divisors is an integer number (781933425).

Almost surely, 268777699328 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 68777699328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112598413200).

68777699328 is an abundant number, since it is smaller than the sum of its proper divisors (156419127072).

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

68777699328 is a wasteful number, since it uses less digits than its factorization.

68777699328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15167 (or 15144 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 68777699328 in words is "sixty-eight billion, seven hundred seventy-seven million, six hundred ninety-nine thousand, three hundred twenty-eight".