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118396161 = 36132312
BaseRepresentation
bin1110000111010…
…01010100000001
322020210011000000
413003221110001
5220302134121
615425350213
72635231212
oct703512401
9266704000
10118396161
1160916874
1233798369
131b6b4c00
1411a1d409
15a5da526
hex70e9501

118396161 has 63 divisors (see below), whose sum is σ = 198618867. Its totient is φ = 70508880.

The previous prime is 118396147. The next prime is 118396193. The reversal of 118396161 is 161693811.

It is a happy number.

The square root of 118396161 is 10881.

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

118396161 is a `hidden beast` number, since 1 + 1 + 8 + 39 + 616 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17514225 + 100881936 = 4185^2 + 10044^2 .

It is not a de Polignac number, because 118396161 - 29 = 118395649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (118396141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3819216 + ... + 3819246.

Almost surely, 2118396161 is an apocalyptic number.

118396161 is the 10881-st square number.

118396161 is the 5441-st centered octagonal number.

It is an amenable number.

118396161 is a deficient number, since it is larger than the sum of its proper divisors (80222706).

118396161 is an frugal number, since it uses more digits than its factorization.

118396161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The cubic root of 118396161 is about 491.0351032570.

Multiplying 118396161 by its sum of digits (36), we get a square (4262261796 = 652862).

It can be divided in two parts, 1183 and 96161, that added together give a square (97344 = 3122).

The spelling of 118396161 in words is "one hundred eighteen million, three hundred ninety-six thousand, one hundred sixty-one".

Divisors: 1 3 9 13 27 31 39 81 93 117 169 243 279 351 403 507 729 837 961 1053 1209 1521 2511 2883 3159 3627 4563 5239 7533 8649 9477 10881 12493 13689 15717 22599 25947 32643 37479 41067 47151 77841 97929 112437 123201 141453 162409 233523 293787 337311 424359 487227 700569 1011933 1273077 1461681 3035799 3819231 4385043 9107397 13155129 39465387 118396161