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9990561829 is a prime number
BaseRepresentation
bin10010100110111101…
…11110000000100101
3221210021000010101111
421103132332000211
5130430040434304
64331204225021
7502401242263
oct112336760045
927707003344
109990561829
114267458a76
121b2999b171
13c32a64561
146aabc7433
153d7146704
hex2537be025

9990561829 has 2 divisors, whose sum is σ = 9990561830. Its totient is φ = 9990561828.

The previous prime is 9990561709. The next prime is 9990561839. The reversal of 9990561829 is 9281650999.

9990561829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9531616900 + 458944929 = 97630^2 + 21423^2 .

It is a cyclic number.

It is not a de Polignac number, because 9990561829 - 27 = 9990561701 is a prime.

It is a super-2 number, since 2×99905618292 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9990561839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4995280914 + 4995280915.

It is an arithmetic number, because the mean of its divisors is an integer number (4995280915).

Almost surely, 29990561829 is an apocalyptic number.

It is an amenable number.

9990561829 is a deficient number, since it is larger than the sum of its proper divisors (1).

9990561829 is an equidigital number, since it uses as much as digits as its factorization.

9990561829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3149280, while the sum is 58.

The square root of 9990561829 is about 99952.7980048583. The cubic root of 9990561829 is about 2153.7566792473.

The spelling of 9990561829 in words is "nine billion, nine hundred ninety million, five hundred sixty-one thousand, eight hundred twenty-nine".