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18929907396 = 22322329972
BaseRepresentation
bin10001101000010011…
…110111011011000100
31210212020221221011100
4101220103313123010
5302232024014041
612410221340100
71240046362251
oct215023673304
953766857140
1018929907396
118034491674
123803707630
131a28a98a4a
14cb8130428
1575bd416b6
hex4684f76c4

18929907396 has 81 divisors (see below), whose sum is σ = 50071737261. Its totient is φ = 6029568864.

The previous prime is 18929907391. The next prime is 18929907401. The reversal of 18929907396 is 69370992981.

It is a happy number.

The square root of 18929907396 is 137586.

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 (18929907391) and next prime (18929907401).

It can be written as a sum of positive squares in only one way, i.e., 16294522500 + 2635384896 = 127650^2 + 51336^2 .

It is a super-2 number, since 2×189299073962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18929907391) 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 in 26 ways as a sum of consecutive naturals, for example, 18986370 + ... + 18987366.

Almost surely, 218929907396 is an apocalyptic number.

18929907396 is the 137586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18929907396

18929907396 is an abundant number, since it is smaller than the sum of its proper divisors (31141829865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18929907396 is an equidigital number, since it uses as much as digits as its factorization.

18929907396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 18929907396 in words is "eighteen billion, nine hundred twenty-nine million, nine hundred seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 997 1058 1587 1994 2116 2991 3174 3988 4761 5982 6348 8973 9522 11964 17946 19044 22931 35892 45862 68793 91724 137586 206379 275172 412758 527413 825516 994009 1054826 1582239 1988018 2109652 2982027 3164478 3976036 4746717 5964054 6328956 8946081 9493434 11928108 17892162 18986868 22862207 35784324 45724414 68586621 91448828 137173242 205759863 274346484 411519726 525830761 823039452 1051661522 1577492283 2103323044 3154984566 4732476849 6309969132 9464953698 18929907396