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275442295328 = 251942572
BaseRepresentation
bin1000000001000011010…
…00111110001000100000
3222022222001021101001122
410000201220332020200
514003101211422303
6330311512151412
725620500610614
oct4004150761040
9868861241048
10275442295328
11a68a5aa4302
1245471098568
131cc88125205
14d48d80d344
157271756e38
hex4021a3e220

275442295328 has 90 divisors (see below), whose sum is σ = 574639205301. Its totient is φ = 129964990464.

The previous prime is 275442295327. The next prime is 275442295361. The reversal of 275442295328 is 823592244572.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 171750567184 + 103691728144 = 414428^2 + 322012^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=371108.

It is a Duffinian number.

Its product of digits (9676800) is a multiple of the sum of its prime factors (600).

It is a self number, because there is not a number n which added to its sum of digits gives 275442295328.

It is not an unprimeable number, because it can be changed into a prime (275442295321) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1071759776 + ... + 1071760032.

Almost surely, 2275442295328 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 275442295328

275442295328 is an abundant number, since it is smaller than the sum of its proper divisors (299196909973).

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

275442295328 is an frugal number, since it uses more digits than its factorization.

275442295328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 278 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 53.

The spelling of 275442295328 in words is "two hundred seventy-five billion, four hundred forty-two million, two hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 257 304 361 514 608 722 1028 1444 2056 2888 4112 4883 5776 6859 8224 9766 11552 13718 19532 27436 39064 54872 66049 78128 92777 109744 130321 132098 156256 185554 219488 260642 264196 371108 521284 528392 742216 1042568 1056784 1254931 1484432 1762763 2085136 2113568 2509862 2968864 3525526 4170272 5019724 7051052 10039448 14102104 20078896 23843689 28204208 33492497 40157792 47687378 56408416 66984994 95374756 133969988 190749512 267939976 381499024 453030091 535879952 762998048 906060182 1071759904 1812120364 3624240728 7248481456 8607571729 14496962912 17215143458 34430286916 68860573832 137721147664 275442295328