Search a number
-
+
27949870000 = 2454131712647
BaseRepresentation
bin11010000001111100…
…010010101110110000
32200010212121111201101
4122001330102232300
5424220131320000
620501234414144
72006423655313
oct320174225660
980125544641
1027949870000
1110942a78018
125500431354
132835718420
1414d206097a
15ad8b62e6a
hex681f12bb0

27949870000 has 200 divisors, whose sum is σ = 77167623456. Its totient is φ = 9712128000.

The previous prime is 27949869977. The next prime is 27949870001. The reversal of 27949870000 is 7894972.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (27949870001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2203677 + ... + 2216323.

Almost surely, 227949870000 is an apocalyptic number.

27949870000 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 27949870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38583811728).

27949870000 is an abundant number, since it is smaller than the sum of its proper divisors (49217753456).

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

27949870000 is a wasteful number, since it uses less digits than its factorization.

27949870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 27949870000 in words is "twenty-seven billion, nine hundred forty-nine million, eight hundred seventy thousand".