Search a number
-
+
27470381400 = 233252711474217
BaseRepresentation
bin11001100101010111…
…001100000101011000
32121220110100222000100
4121211113030011120
5422224404201100
620341505335400
71661512250340
oct314527140530
977813328010
1027470381400
1110717350150
1253a7937560
13278a295467
1414884c7d20
15aab9ec400
hex6655cc158

27470381400 has 576 divisors, whose sum is σ = 117493908480. Its totient is φ = 5585356800.

The previous prime is 27470381371. The next prime is 27470381401. The reversal of 27470381400 is 418307472.

It is a happy number.

27470381400 is a `hidden beast` number, since 274 + 7 + 0 + 381 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×274703814002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27470381401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6512092 + ... + 6516308.

It is an arithmetic number, because the mean of its divisors is an integer number (203982480).

Almost surely, 227470381400 is an apocalyptic number.

27470381400 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 27470381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58746954240).

27470381400 is an abundant number, since it is smaller than the sum of its proper divisors (90023527080).

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

27470381400 is a wasteful number, since it uses less digits than its factorization.

27470381400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 27470381400 its reverse (418307472), we get a palindrome (27888688872).

The spelling of 27470381400 in words is "twenty-seven billion, four hundred seventy million, three hundred eighty-one thousand, four hundred".