Search a number
-
+
27457760214 = 23623978797
BaseRepresentation
bin11001100100100111…
…000010101111010110
32121212120121202000000
4121210213002233112
5422213141311324
620340335032130
71661300053023
oct314447025726
977776552000
1027457760214
111071020a715
1253a366b646
1327877967c1
14148696054a
15aaa8579c9
hex6649c2bd6

27457760214 has 56 divisors (see below), whose sum is σ = 62010874080. Its totient is φ = 9114175728.

The previous prime is 27457760201. The next prime is 27457760219. The reversal of 27457760214 is 41206775472.

27457760214 is a `hidden beast` number, since 2 + 7 + 4 + 577 + 60 + 2 + 14 = 666.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 27457760214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27457760219) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 309064 + ... + 387860.

Almost surely, 227457760214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27457760214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31005437040).

27457760214 is an abundant number, since it is smaller than the sum of its proper divisors (34553113866).

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

27457760214 is an equidigital number, since it uses as much as digits as its factorization.

27457760214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79056 (or 79041 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 27457760214 in words is "twenty-seven billion, four hundred fifty-seven million, seven hundred sixty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 243 478 486 717 729 1434 1458 2151 4302 6453 12906 19359 38718 58077 78797 116154 157594 174231 236391 348462 472782 709173 1418346 2127519 4255038 6382557 12765114 18832483 19147671 37664966 38295342 56497449 57443013 112994898 114886026 169492347 338984694 508477041 1016954082 1525431123 3050862246 4576293369 9152586738 13728880107 27457760214