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6992359510249 = 292911832
BaseRepresentation
bin110010111000000100100…
…0110101101000011101001
3220202110111120000212211101
41211300021012231003221
51404030323013311444
622512125015201401
71321116121113661
oct145601106550351
926673446025741
106992359510249
112256496720303
1294b1bb076261
133b94b871b389
141a26095d31a1
15c1d49a6a3d4
hex65c091ad0e9

6992359510249 has 9 divisors (see below), whose sum is σ = 7241869116183. Its totient is φ = 6751169624472.

The previous prime is 6992359510237. The next prime is 6992359510261. The reversal of 6992359510249 is 9420159532996.

The square root of 6992359510249 is 2644307.

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

It is an interprime number because it is at equal distance from previous prime (6992359510237) and next prime (6992359510261).

It can be written as a sum of positive squares in only one way, i.e., 3666623714649 + 3325735795600 = 1914843^2 + 1823660^2 .

It is not a de Polignac number, because 6992359510249 - 231 = 6990212026601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6992359580249) 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 8 ways as a sum of consecutive naturals, for example, 76639312 + ... + 76730494.

Almost surely, 26992359510249 is an apocalyptic number.

6992359510249 is the 2644307-th square number.

6992359510249 is the 1322154-th centered octagonal number.

It is an amenable number.

6992359510249 is a deficient number, since it is larger than the sum of its proper divisors (249509605934).

6992359510249 is an frugal number, since it uses more digits than its factorization.

6992359510249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182424 (or 91212 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 64.

Multiplying 6992359510249 by its sum of digits (64), we get a square (447511008655936 = 211544562).

The spelling of 6992359510249 in words is "six trillion, nine hundred ninety-two billion, three hundred fifty-nine million, five hundred ten thousand, two hundred forty-nine".

Divisors: 1 29 841 91183 2644307 76684903 8314339489 241115845181 6992359510249