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68799499776 = 293273192979
BaseRepresentation
bin100000000010011000…
…1010000111000000000
320120120202101201011100
41000010301100320000
52111400132443101
651334524014400
74653626046000
oct1000461207000
9216522351140
1068799499776
11271a5584527
1211400991400
1366458095a7
1434893d6000
151bca026e86
hex1004c50e00

68799499776 has 960 divisors, whose sum is σ = 255340800000. Its totient is φ = 17752670208.

The previous prime is 68799499763. The next prime is 68799499883. The reversal of 68799499776 is 67799499786.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68799499695 and 68799499704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870879705 + ... + 870879783.

It is an arithmetic number, because the mean of its divisors is an integer number (265980000).

Almost surely, 268799499776 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 68799499776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400000).

68799499776 is an abundant number, since it is smaller than the sum of its proper divisors (186541300224).

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

68799499776 is a wasteful number, since it uses less digits than its factorization.

68799499776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its digits is 2592487296, while the sum is 81.

The spelling of 68799499776 in words is "sixty-eight billion, seven hundred ninety-nine million, four hundred ninety-nine thousand, seven hundred seventy-six".