Search a number
-
+
27939296000 = 2853711172329
BaseRepresentation
bin11010000001010011…
…111101001100000000
32200010010201021220202
4122001103331030000
5424204424433000
620500220024332
72006235045320
oct320123751400
980103637822
1027939296000
1110938005680
1254b89920a8
132833485515
1414d08ab280
15ad7c74dd5
hex6814fd300

27939296000 has 1152 divisors, whose sum is σ = 99179458560. Its totient is φ = 7569408000.

The previous prime is 27939295903. The next prime is 27939296009. The reversal of 27939296000 is 69293972.

It is not an unprimeable number, because it can be changed into a prime (27939296009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 963423986 + ... + 963424014.

It is an arithmetic number, because the mean of its divisors is an integer number (86093280).

Almost surely, 227939296000 is an apocalyptic number.

27939296000 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 27939296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49589729280).

27939296000 is an abundant number, since it is smaller than the sum of its proper divisors (71240162560).

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

27939296000 is a wasteful number, since it uses less digits than its factorization.

27939296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 47.

The spelling of 27939296000 in words is "twenty-seven billion, nine hundred thirty-nine million, two hundred ninety-six thousand".