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60068848800 = 25352313721821
BaseRepresentation
bin110111111100011000…
…011110010010100000
312202001022010200112210
4313330120132102200
51441010111130200
643332323522120
74224363535032
oct677430362240
9182038120483
1060068848800
11235253321a4
12b784b29340
135883ab4a1c
142c9ba95c52
151868802650
hexdfc61e4a0

60068848800 has 288 divisors, whose sum is σ = 207295732224. Its totient is φ = 15081984000.

The previous prime is 60068848759. The next prime is 60068848841. The reversal of 60068848800 is 884886006.

60068848800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60068848759) and next prime (60068848841).

It is a super-2 number, since 2×600688488002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 60068848800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741890 + ... + 2763710.

It is an arithmetic number, because the mean of its divisors is an integer number (719776848).

Almost surely, 260068848800 is an apocalyptic number.

60068848800 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 60068848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103647866112).

60068848800 is an abundant number, since it is smaller than the sum of its proper divisors (147226883424).

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

60068848800 is a wasteful number, since it uses less digits than its factorization.

60068848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21912 (or 21899 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 60068848800 in words is "sixty billion, sixty-eight million, eight hundred forty-eight thousand, eight hundred".