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274904121969 = 3864732
BaseRepresentation
bin1000000000000011001…
…00000000001001110001
3222021120112121100000000
410000001210000021301
514001000423400334
6330142245220213
725601244324231
oct4000144001161
9867515540000
10274904121969
11a664a234734
1245340a01669
131cc00795b39
14d43c15bcc1
15723e39d299
hex4001900271

274904121969 has 27 divisors (see below), whose sum is σ = 412398943723. Its totient is φ = 183241101744.

The previous prime is 274904121959. The next prime is 274904121979. The reversal of 274904121969 is 969121409472.

The square root of 274904121969 is 524313.

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

274904121969 is a `hidden beast` number, since 2 + 7 + 490 + 41 + 21 + 96 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (274904121959) and next prime (274904121979).

It can be written as a sum of positive squares in only one way, i.e., 50523800625 + 224380321344 = 224775^2 + 473688^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 274904121969 - 211 = 274904119921 is a prime.

It is a super-3 number, since 3×2749041219693 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (274904121959) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42466117 + ... + 42472589.

Almost surely, 2274904121969 is an apocalyptic number.

274904121969 is the 524313-rd square number.

274904121969 is the 262157-th centered octagonal number.

It is an amenable number.

274904121969 is a deficient number, since it is larger than the sum of its proper divisors (137494821754).

274904121969 is an frugal number, since it uses more digits than its factorization.

274904121969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 274904121969 in words is "two hundred seventy-four billion, nine hundred four million, one hundred twenty-one thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 2187 6473 6561 19419 58257 174771 524313 1572939 4718817 14156451 41899729 42469353 125699187 377097561 1131292683 3393878049 10181634147 30544902441 91634707323 274904121969