Search a number
-
+
274877906944 = 238
BaseRepresentation
bin1000000000000000000…
…00000000000000000000
3222021111201021110202011
410000000000000000000
514000422221010234
6330135511302304
725600505441464
oct4000000000000
9867451243664
10274877906944
11a6636459a23
124533407a994
131cbc82178a4
14d4388964a4
15723be20b64
hex4000000000

274877906944 has 39 divisors (see below), whose sum is σ = 549755813887. Its totient is φ = 137438953472.

The previous prime is 274877906899. The next prime is 274877906951. The reversal of 274877906944 is 449609778472.

The square root of 274877906944 is 524288.

It is a perfect power (a square, a 19-th power, a 38-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)38.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=512.

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 274877906944.

It is an unprimeable number.

In principle, a polygon with 274877906944 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2274877906944 is an apocalyptic number.

274877906944 is the 524288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274877906944

274877906944 is a deficient number, since it is larger than the sum of its proper divisors (274877906943).

274877906944 is an frugal number, since it uses more digits than its factorization.

274877906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 67.

The spelling of 274877906944 in words is "two hundred seventy-four billion, eight hundred seventy-seven million, nine hundred six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944