Search a number
-
+
27708912000 = 273353731117
BaseRepresentation
bin11001110011100101…
…000111000110000000
32122112002012120111000
4121303211013012000
5423221440141000
620421310052000
72000436603000
oct316345070600
978462176430
1027708912000
1110829a5a780
1254537aa000
1327c7820523
1414ac05a000
15ac2918000
hex673947180

27708912000 has 2048 divisors, whose sum is σ = 137479680000. Its totient is φ = 5419008000.

The previous prime is 27708911947. The next prime is 27708912019. The reversal of 27708912000 is 21980772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1629935992 + ... + 1629936008.

It is an arithmetic number, because the mean of its divisors is an integer number (67128750).

Almost surely, 227708912000 is an apocalyptic number.

27708912000 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 27708912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840000).

27708912000 is an abundant number, since it is smaller than the sum of its proper divisors (109770768000).

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

27708912000 is a wasteful number, since it uses less digits than its factorization.

27708912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 27708912000 in words is "twenty-seven billion, seven hundred eight million, nine hundred twelve thousand".