Search a number
-
+
27390292992 = 2103319232267
BaseRepresentation
bin11001100000100101…
…101011010000000000
32121200212200001101000
4121200211223100000
5422043403333432
620325525012000
71656520435416
oct314045532000
977625601330
1027390292992
1110686119587
125384b54000
132776803a7a
14147b9db2b6
15aa497c57c
hex66096b400

27390292992 has 352 divisors, whose sum is σ = 89137843200. Its totient is φ = 8269848576.

The previous prime is 27390292921. The next prime is 27390292999. The reversal of 27390292992 is 29929209372.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27390292999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12081043 + ... + 12083309.

Almost surely, 227390292992 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 27390292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44568921600).

27390292992 is an abundant number, since it is smaller than the sum of its proper divisors (61747550208).

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

27390292992 is a wasteful number, since it uses less digits than its factorization.

27390292992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 27390292992 in words is "twenty-seven billion, three hundred ninety million, two hundred ninety-two thousand, nine hundred ninety-two".