Search a number
-
+
27980597376 = 2732237391429
BaseRepresentation
bin11010000011110001…
…100000100010000000
32200020000102121202100
4122003301200202000
5424301013104001
620504253150400
72010246103434
oct320361404200
980200377670
1027980597376
1110959354a46
12550a78b400
13283bbb64c4
1414d617c9c4
15adb6d2586
hex683c60880

27980597376 has 192 divisors, whose sum is σ = 84190392000. Its totient is φ = 8903043072.

The previous prime is 27980597341. The next prime is 27980597387. The reversal of 27980597376 is 67379508972.

27980597376 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 0 + 597 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19579830 + ... + 19581258.

It is an arithmetic number, because the mean of its divisors is an integer number (438491625).

Almost surely, 227980597376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27980597376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42095196000).

27980597376 is an abundant number, since it is smaller than the sum of its proper divisors (56209794624).

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

27980597376 is a wasteful number, since it uses less digits than its factorization.

27980597376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 27980597376 in words is "twenty-seven billion, nine hundred eighty million, five hundred ninety-seven thousand, three hundred seventy-six".