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121168736649 = 34386772
BaseRepresentation
bin111000011011000111…
…0000011000110001001
3102120202110100120210000
41300312032003012021
53441123144033044
6131355242313213
711516450160612
oct1606616030611
9376673316700
10121168736649
1147429658284
121b5971b8809
13b57038380c
145c16658c09
1532428b7d69
hex1c36383189

121168736649 has 15 divisors (see below), whose sum is σ = 181009829847. Its totient is φ = 80777069208.

The previous prime is 121168736639. The next prime is 121168736657. The reversal of 121168736649 is 946637861121.

The square root of 121168736649 is 348093.

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

121168736649 is a `hidden beast` number, since 1 + 211 + 68 + 7 + 366 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3884405625 + 117284331024 = 62325^2 + 342468^2 .

It is not a de Polignac number, because 121168736649 - 25 = 121168736617 is a prime.

It is a super-2 number, since 2×1211687366492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121168736595 and 121168736604.

It is not an unprimeable number, because it can be changed into a prime (121168736639) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3113499 + ... + 3152175.

Almost surely, 2121168736649 is an apocalyptic number.

121168736649 is the 348093-rd square number.

121168736649 is the 174047-th centered octagonal number.

It is an amenable number.

121168736649 is a deficient number, since it is larger than the sum of its proper divisors (59841093198).

121168736649 is an frugal number, since it uses more digits than its factorization.

121168736649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77366 (or 38680 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 121168736649 in words is "one hundred twenty-one billion, one hundred sixty-eight million, seven hundred thirty-six thousand, six hundred forty-nine".

Divisors: 1 3 9 27 81 38677 116031 348093 1044279 3132837 1495910329 4487730987 13463192961 40389578883 121168736649