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270461344512681 = 34722610432
BaseRepresentation
bin111101011111101110110000…
…010111010111101010101001
31022110121212000010100022210000
4331133232300113113222221
5240422214313143401211
62355120120523013213
7110653121150531400
oct7537566027275251
91273555003308700
10270461344512681
11791a5015079133
122640127906a209
13b7bb51a78291a
144ab05828cc637
1521404c0c65656
hexf5fbb05d7aa9

270461344512681 has 45 divisors (see below), whose sum is σ = 469987160235021. Its totient is φ = 154548747676008.

The previous prime is 270461344512629. The next prime is 270461344512691. The reversal of 270461344512681 is 186215443164072.

The square root of 270461344512681 is 16445709.

It is a perfect power (a square), and thus also a powerful number.

270461344512681 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 6 + 1 + 3 + 44 + 512 + 6 + 81 = 666.

It is not a de Polignac number, because 270461344512681 - 213 = 270461344504489 is a prime.

It is a super-2 number, since 2×2704613445126812 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (270461344512691) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1035949146 + ... + 1036210188.

Almost surely, 2270461344512681 is an apocalyptic number.

270461344512681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

270461344512681 is the 16445709-th square number.

270461344512681 is the 8222855-th centered octagonal number.

It is an amenable number.

270461344512681 is a deficient number, since it is larger than the sum of its proper divisors (199525815722340).

270461344512681 is an frugal number, since it uses more digits than its factorization.

270461344512681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522112 (or 261053 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 270461344512681 in words is "two hundred seventy trillion, four hundred sixty-one billion, three hundred forty-four million, five hundred twelve thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 261043 783129 1827301 2349387 5481903 7048161 12791107 16445709 21144483 38373321 49337127 115119963 148011381 345359889 1036079667 68143447849 204430343547 477004134943 613291030641 1431012404829 1839873091923 3339028944601 4293037214487 5519619275769 10017086833803 12879111643461 30051260501409 38637334930383 90153781504227 270461344512681