Search a number
-
+
275028774480 = 243255311363781
BaseRepresentation
bin1000000000010001111…
…11100000111001010000
3222021220020011100002200
410000020333200321100
514001224331240410
6330202501043200
725604320003515
oct4001077407120
9867806140080
10275028774480
11a6703633a39
12453766b6500
131cc2055b615
14d45092930c
15724a2c23c0
hex4008fe0e50

275028774480 has 240 divisors, whose sum is σ = 949408336656. Its totient is φ = 71319306240.

The previous prime is 275028774467. The next prime is 275028774487. The reversal of 275028774480 is 84477820572.

275028774480 is a `hidden beast` number, since 2 + 75 + 0 + 28 + 7 + 74 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20371281984 + 254657492496 = 142728^2 + 504636^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275028774487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4280190 + ... + 4343970.

Almost surely, 2275028774480 is an apocalyptic number.

275028774480 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 275028774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474704168328).

275028774480 is an abundant number, since it is smaller than the sum of its proper divisors (674379562176).

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

275028774480 is a wasteful number, since it uses less digits than its factorization.

275028774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63966 (or 63957 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 275028774480 in words is "two hundred seventy-five billion, twenty-eight million, seven hundred seventy-four thousand, four hundred eighty".