Search a number
-
+
275055740928 = 2113437411093
BaseRepresentation
bin1000000000010101001…
…10011000100000000000
3222021222002220101010000
410000022212120200000
514001303232202203
6330205303040000
725605065136063
oct4001246304000
9867862811100
10275055740928
11a6717882261
1245383740000
131cc260108b7
14d4543488da
15724c84c4a3
hex400a998800

275055740928 has 480 divisors, whose sum is σ = 865146161880. Its totient is φ = 86951854080.

The previous prime is 275055740903. The next prime is 275055740951. The reversal of 275055740928 is 829047550572.

275055740928 is a `hidden beast` number, since 2 + 7 + 505 + 5 + 7 + 40 + 92 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 271432664064 + 3623076864 = 520992^2 + 60192^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 251651550 + ... + 251652642.

Almost surely, 2275055740928 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 275055740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432573080940).

275055740928 is an abundant number, since it is smaller than the sum of its proper divisors (590090420952).

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

275055740928 is a wasteful number, since it uses less digits than its factorization.

275055740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 275055740928 in words is "two hundred seventy-five billion, fifty-five million, seven hundred forty thousand, nine hundred twenty-eight".