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3910083076449 = 32112599212
BaseRepresentation
bin111000111001100011000…
…111001110000101100001
3111211210121102010201021100
4320321203013032011201
51003030322231421244
612152133430145013
7552331334525004
oct70714307160541
914753542121240
103910083076449
111278290a63100
12531972ab2169
13224947272c24
14d736b4a953b
156ba9c08db69
hex38e631ce161

3910083076449 has 27 divisors (see below), whose sum is σ = 6208123475827. Its totient is φ = 2369707771200.

The previous prime is 3910083076429. The next prime is 3910083076463. The reversal of 3910083076449 is 9446703800193.

It is a happy number.

The square root of 3910083076449 is 1977393.

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

It can be written as a sum of positive squares in only one way, i.e., 2885048322849 + 1025034753600 = 1698543^2 + 1012440^2 .

It is not a de Polignac number, because 3910083076449 - 215 = 3910083043681 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3910083076395 and 3910083076404.

It is not an unprimeable number, because it can be changed into a prime (3910083076429) 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, 65224009 + ... + 65283929.

Almost surely, 23910083076449 is an apocalyptic number.

3910083076449 is the 1977393-rd square number.

3910083076449 is the 988697-th centered octagonal number.

It is an amenable number.

3910083076449 is a deficient number, since it is larger than the sum of its proper divisors (2298040399378).

3910083076449 is an frugal number, since it uses more digits than its factorization.

3910083076449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119870 (or 59935 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3910083076449 in words is "three trillion, nine hundred ten billion, eighty-three million, seventy-six thousand, four hundred forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 59921 179763 539289 659131 1977393 5932179 7250441 21751323 65253969 3590526241 10771578723 32314736169 39495788651 118487365953 355462097859 434453675161 1303361025483 3910083076449