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1334849797449 = 367261132
BaseRepresentation
bin10011011011001011001…
…111110111110101001001
311201121110222101121000000
4103123023033313311021
5133332233022004244
62501115503433213
7165303552032400
oct23331317676511
94647428347000
101334849797449
11475119a02893
121968525b5809
1398b5017ac6c
144886db56637
1524ac86d6169
hex136cb3f7d49

1334849797449 has 63 divisors (see below), whose sum is σ = 2328492585783. Its totient is φ = 762646534272.

The previous prime is 1334849797447. The next prime is 1334849797507. The reversal of 1334849797449 is 9447979484331.

The square root of 1334849797449 is 1155357.

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

1334849797449 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 8 + 4 + 97 + 97 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 737889590025 + 596960207424 = 859005^2 + 772632^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 1334849797449 - 21 = 1334849797447 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1334849797447) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 218359417 + ... + 218365529.

Almost surely, 21334849797449 is an apocalyptic number.

1334849797449 is the 1155357-th square number.

1334849797449 is the 577679-th centered octagonal number.

It is an amenable number.

1334849797449 is a deficient number, since it is larger than the sum of its proper divisors (993642788334).

1334849797449 is an frugal number, since it uses more digits than its factorization.

1334849797449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258 (or 6123 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 1334849797449 in words is "one trillion, three hundred thirty-four billion, eight hundred forty-nine million, seven hundred ninety-seven thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 6113 11907 18339 35721 42791 55017 128373 165051 299537 385119 495153 898611 1155357 1485459 2695833 3466071 4456377 8087499 10398213 24262497 31194639 37368769 72787491 112106307 218362473 261581383 336318921 784744149 1008956763 1831069681 2354232447 3026870289 5493209043 7062697341 9080610867 16479627129 21188092023 27241832601 49438881387 63564276069 148316644161 190692828207 444949932483 1334849797449