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68955606720 = 263357211131767
BaseRepresentation
bin100000000111000010…
…0110000111011000000
320120222122010202122000
41000032010300323000
52112210113403340
651402221544000
74660532662200
oct1001604607300
9216878122560
1068955606720
1127275707a30
1211445115000
13666bc66070
1434a2030400
151bd8ab0d30
hex100e130ec0

68955606720 has 2688 divisors, whose sum is σ = 357256811520. Its totient is φ = 12262440960.

The previous prime is 68955606673. The next prime is 68955606749. The reversal of 68955606720 is 2760655986.

It is a happy number.

68955606720 is a `hidden beast` number, since 6 + 8 + 9 + 5 + 5 + 606 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1029188127 + ... + 1029188193.

It is an arithmetic number, because the mean of its divisors is an integer number (132908040).

Almost surely, 268955606720 is an apocalyptic number.

68955606720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68955606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178628405760).

68955606720 is an abundant number, since it is smaller than the sum of its proper divisors (288301204800).

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

68955606720 is a wasteful number, since it uses less digits than its factorization.

68955606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 68955606720 in words is "sixty-eight billion, nine hundred fifty-five million, six hundred six thousand, seven hundred twenty".