Search a number
-
+
27039936000 = 293537113159
BaseRepresentation
bin11001001011101101…
…001010111000000000
32120210110102001221010
4121023231022320000
5420334210423000
620231051400520
71645034443440
oct311355127000
976713361833
1027039936000
1110516380150
1252a7753140
13271c05423c
14144727a120
15a83d22d50
hex64bb4ae00

27039936000 has 1280 divisors, whose sum is σ = 117661040640. Its totient is φ = 5345280000.

The previous prime is 27039935983. The next prime is 27039936029. The reversal of 27039936000 is 63993072.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 27039936000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 458303971 + ... + 458304029.

It is an arithmetic number, because the mean of its divisors is an integer number (91922688).

Almost surely, 227039936000 is an apocalyptic number.

27039936000 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 27039936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58830520320).

27039936000 is an abundant number, since it is smaller than the sum of its proper divisors (90621104640).

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

27039936000 is a wasteful number, since it uses less digits than its factorization.

27039936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The spelling of 27039936000 in words is "twenty-seven billion, thirty-nine million, nine hundred thirty-six thousand".