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1916831943009 = 3417290492
BaseRepresentation
bin11011111001001100000…
…101100100100101100001
320210020200022110210210000
4123321030011210211201
5222401132434134014
64024325212530213
7255325611453504
oct33711405444541
96706608423700
101916831943009
11679a18729695
1226b5b3180969
1310b9aac96229
1468abd08313b
1534cdb820509
hex1be4c164961

1916831943009 has 45 divisors (see below), whose sum is σ = 3042096024297. Its totient is φ = 1202585170176.

The previous prime is 1916831943001. The next prime is 1916831943017. The reversal of 1916831943009 is 9003491386191.

The square root of 1916831943009 is 1384497.

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

1916831943009 is a `hidden beast` number, since 1 + 9 + 16 + 8 + 319 + 4 + 300 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1916831943001) and next prime (1916831943017).

It can be written as a sum of positive squares in 4 ways, for example, as 715335350625 + 1201496592384 = 845775^2 + 1096128^2 .

It is not a de Polignac number, because 1916831943009 - 23 = 1916831943001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1916831943001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 211823517 + ... + 211832565.

Almost surely, 21916831943009 is an apocalyptic number.

1916831943009 is the 1384497-th square number.

1916831943009 is the 692249-th centered octagonal number.

It is an amenable number.

1916831943009 is a deficient number, since it is larger than the sum of its proper divisors (1125264081288).

1916831943009 is an frugal number, since it uses more digits than its factorization.

1916831943009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18144 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1916831943009 in words is "one trillion, nine hundred sixteen billion, eight hundred thirty-one million, nine hundred forty-three thousand, nine".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 9049 23409 27147 81441 153833 244323 461499 732969 1384497 2615161 4153491 7845483 12460473 23536449 70609347 81884401 211828041 245653203 736959609 1392034817 2210878827 4176104451 6632636481 12528313353 23664591889 37584940059 70993775667 112754820177 212981327001 638943981003 1916831943009