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68829829920 = 25335157101483
BaseRepresentation
bin100000000011010010…
…0111101101100100000
320120122212110122022000
41000012210331230200
52111430414024140
651341530044000
74654444621035
oct1000644755440
9216585418260
1068829829920
112721070aa65
121140ab79600
13664bb98917
14348d44d38c
151bcca18a30
hex100693db20

68829829920 has 192 divisors, whose sum is σ = 242441216640. Its totient is φ = 18237533184.

The previous prime is 68829829903. The next prime is 68829829921. The reversal of 68829829920 is 2992892886.

It is a super-2 number, since 2×688298299202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68829829921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627499 + ... + 728981.

It is an arithmetic number, because the mean of its divisors is an integer number (1262714670).

Almost surely, 268829829920 is an apocalyptic number.

68829829920 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 68829829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121220608320).

68829829920 is an abundant number, since it is smaller than the sum of its proper divisors (173611386720).

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

68829829920 is a wasteful number, since it uses less digits than its factorization.

68829829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101664 (or 101650 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 68829829920 in words is "sixty-eight billion, eight hundred twenty-nine million, eight hundred twenty-nine thousand, nine hundred twenty".