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27688068000 = 25345397881
BaseRepresentation
bin11001110010010101…
…100110001110100000
32122110121222120220000
4121302111212032200
5423201121134000
620415243220000
72000064460215
oct316225461640
978417876800
1027688068000
111081921332a
125448817600
1327c3402bb8
1414a9391b0c
15ac0b9c000
hex6725663a0

27688068000 has 480 divisors, whose sum is σ = 102788653968. Its totient is φ = 7299072000.

The previous prime is 27688067999. The next prime is 27688068007. The reversal of 27688068000 is 86088672.

It can be written as a sum of positive squares in 8 ways, for example, as 13749264 + 27674318736 = 3708^2 + 166356^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27688068007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31427560 + ... + 31428440.

Almost surely, 227688068000 is an apocalyptic number.

27688068000 is a gapful number since it is divisible by the number (20) 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 27688068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51394326984).

27688068000 is an abundant number, since it is smaller than the sum of its proper divisors (75100585968).

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

27688068000 is an equidigital number, since it uses as much as digits as its factorization.

27688068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27688068000 in words is "twenty-seven billion, six hundred eighty-eight million, sixty-eight thousand".