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68508763158528 = 2113571131101571
BaseRepresentation
bin11111001001110111100000…
…11111011111100000000000
322222120101002111102012200000
433210323300133133200000
532434421421332033103
6401412254042400000
720300411005436430
oct1744736037374000
9288511074365600
1068508763158528
111a913448868510
12782555a200000
132c2c46bc87404
1412cbbadd9c2c0
157dc10bb42aa3
hex3e4ef07df800

68508763158528 has 2304 divisors, whose sum is σ = 267160779325440. Its totient is φ = 17020108800000.

The previous prime is 68508763158461. The next prime is 68508763158529. The reversal of 68508763158528 is 82585136780586.

68508763158528 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 8 + 7 + 6 + 31 + 585 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×685087631585282 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68508763158529) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119980320483 + ... + 119980321053.

It is an arithmetic number, because the mean of its divisors is an integer number (115955199360).

Almost surely, 268508763158528 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 68508763158528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133580389662720).

68508763158528 is an abundant number, since it is smaller than the sum of its proper divisors (198652016166912).

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

68508763158528 is a wasteful number, since it uses less digits than its factorization.

68508763158528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 68508763158528 in words is "sixty-eight trillion, five hundred eight billion, seven hundred sixty-three million, one hundred fifty-eight thousand, five hundred twenty-eight".