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1361364165 = 34571747601
BaseRepresentation
bin101000100100100…
…1100010011000101
310111212122110120000
41101021030103011
510242002123130
6343030431513
745510255510
oct12111142305
93455573500
101361364165
11639500057
1231bb02599
13189071b35
14ccb35d77
157e7b2260
hex5124c4c5

1361364165 has 160 divisors (see below), whose sum is σ = 3020903424. Its totient is φ = 572313600.

The previous prime is 1361364119. The next prime is 1361364167. The reversal of 1361364165 is 5614631631.

1361364165 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 3 + 641 + 6 + 5 = 666.

It is not a de Polignac number, because 1361364165 - 213 = 1361355973 is a prime.

It is a super-2 number, since 2×13613641652 = 3706624779492294450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361364167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2264865 + ... + 2265465.

Almost surely, 21361364165 is an apocalyptic number.

1361364165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1361364165 is an abundant number, since it is smaller than the sum of its proper divisors (1659539259).

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

1361364165 is a wasteful number, since it uses less digits than its factorization.

1361364165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 1361364165 is about 36896.6687520703. The cubic root of 1361364165 is about 1108.3019691252.

Adding to 1361364165 its reverse (5614631631), we get a palindrome (6975995796).

The spelling of 1361364165 in words is "one billion, three hundred sixty-one million, three hundred sixty-four thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 47 51 63 81 85 105 119 135 141 153 189 235 255 315 329 357 405 423 459 567 595 601 705 765 799 945 987 1071 1269 1377 1645 1785 1803 2115 2295 2397 2835 2961 3005 3213 3807 3995 4207 4935 5355 5409 5593 6345 6885 7191 8883 9015 9639 10217 11985 12621 14805 16065 16227 16779 19035 21035 21573 26649 27045 27965 28247 30651 35955 37863 44415 48195 48681 50337 51085 63105 64719 71519 81135 83895 84741 91953 107865 113589 133245 141235 151011 153255 189315 197729 214557 243405 251685 254223 275859 323595 340767 357595 423705 453033 459765 480199 567945 593187 643671 755055 762669 827577 988645 1072785 1271115 1379295 1440597 1703835 1779561 1931013 2265165 2288007 2400995 2965935 3218355 3361393 3813345 4137885 4321791 5338683 5793039 7202985 8897805 9655065 10084179 11440035 12965373 16016049 16806965 21608955 26693415 28965195 30252537 38896119 50420895 64826865 80080245 90757611 151262685 194480595 272272833 453788055 1361364165