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164161603386 = 232112416130137
BaseRepresentation
bin1001100011100011001…
…0110100011100111010
3120200201201000111121200
42120320302310130322
510142200332302021
6203225332515030
714601035414454
oct2307062643472
9520651014550
10164161603386
1163690a44400
122799547ba76
13126324c0831
147d344d32d4
15440bed5126
hex2638cb473a

164161603386 has 144 divisors (see below), whose sum is σ = 407072398824. Its totient is φ = 47735424000.

The previous prime is 164161603343. The next prime is 164161603393. The reversal of 164161603386 is 683306161461.

164161603386 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 1 + 603 + 38 + 6 = 666.

164161603386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18710136225 + 145451467161 = 136785^2 + 381381^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5432110 + ... + 5462246.

Almost surely, 2164161603386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164161603386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203536199412).

164161603386 is an abundant number, since it is smaller than the sum of its proper divisors (242910795438).

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

164161603386 is a wasteful number, since it uses less digits than its factorization.

164161603386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30269 (or 30255 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 164161603386 in words is "one hundred sixty-four billion, one hundred sixty-one million, six hundred three thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 41 61 66 82 99 121 122 123 183 198 242 246 363 366 369 451 549 671 726 738 902 1089 1098 1342 1353 2013 2178 2501 2706 4026 4059 4961 5002 6039 7381 7503 8118 9922 12078 14762 14883 15006 22143 22509 27511 29766 30137 44286 44649 45018 55022 60274 66429 82533 89298 90411 132858 165066 180822 247599 271233 302621 331507 495198 542466 605242 663014 907863 994521 1235617 1815726 1838357 1989042 2471234 2723589 2983563 3646577 3676714 3706851 5447178 5515071 5967126 7293154 7413702 10939731 11030142 11120553 13591787 16545213 20221927 21879462 22241106 27183574 32819193 33090426 40443854 40775361 60665781 65638386 75372637 81550722 121331562 122326083 149509657 150745274 181997343 222441197 226117911 244652166 299019314 363994686 444882394 448528971 452235822 667323591 678353733 829099007 897057942 1334647182 1345586913 1356707466 1658198014 2001970773 2487297021 2691173826 4003941546 4974594042 7461891063 9120089077 14923782126 18240178154 27360267231 54720534462 82080801693 164161603386