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122033544889 = 172205492
BaseRepresentation
bin111000110100111000…
…1000001111010111001
3102122222201122101122211
41301221301001322321
53444411041414024
6132021134215121
711550051005464
oct1615161017271
9378881571584
10122033544889
1147832833533
121b7989544a1
13b67a5a8079
145c994542db
153293792594
hex1c69c41eb9

122033544889 has 9 divisors (see below), whose sum is σ = 129640558957. Its totient is φ = 114849511744.

The previous prime is 122033544887. The next prime is 122033544901. The reversal of 122033544889 is 988445330221.

It is a happy number.

The square root of 122033544889 is 349333.

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

It can be written as a sum of positive squares in 4 ways, for example, as 79724346025 + 42309198864 = 282355^2 + 205692^2 .

It is not a de Polignac number, because 122033544889 - 21 = 122033544887 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122033544883) 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, 5928387 + ... + 5948935.

Almost surely, 2122033544889 is an apocalyptic number.

122033544889 is the 349333-rd square number.

122033544889 is the 174667-th centered octagonal number.

It is an amenable number.

122033544889 is a deficient number, since it is larger than the sum of its proper divisors (7607014068).

122033544889 is an frugal number, since it uses more digits than its factorization.

122033544889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41132 (or 20566 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 122033544889 by its sum of digits (49), we get a square (5979643699561 = 24453312).

The spelling of 122033544889 in words is "one hundred twenty-two billion, thirty-three million, five hundred forty-four thousand, eight hundred eighty-nine".

Divisors: 1 17 289 20549 349333 5938661 422261401 7178443817 122033544889