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2116286172 = 22327111358727
BaseRepresentation
bin111111000100011…
…1111011011011100
312110111011110212100
41332020333123130
513313232124142
6545555205100
7103305064350
oct17610773334
95414143770
102116286172
11996652140
124b08a6790
132795a0a50
141610c9460
15c5bd2b4c
hex7e23f6dc

2116286172 has 144 divisors (see below), whose sum is σ = 7182669312. Its totient is φ = 507392640.

The previous prime is 2116286171. The next prime is 2116286203. The reversal of 2116286172 is 2716826112.

2116286172 is a `hidden beast` number, since 2 + 1 + 16 + 28 + 617 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116286171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6673 + ... + 65399.

It is an arithmetic number, because the mean of its divisors is an integer number (49879648).

Almost surely, 22116286172 is an apocalyptic number.

2116286172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116286172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591334656).

2116286172 is an abundant number, since it is smaller than the sum of its proper divisors (5066383140).

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

2116286172 is a wasteful number, since it uses less digits than its factorization.

2116286172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58768 (or 58763 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 2116286172 is about 46003.1104600548. The cubic root of 2116286172 is about 1283.8810775817.

The spelling of 2116286172 in words is "two billion, one hundred sixteen million, two hundred eighty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 58727 117454 176181 234908 352362 411089 528543 645997 704724 763451 822178 1057086 1233267 1291994 1526902 1644356 1937991 2114172 2290353 2466534 2583988 3053804 3699801 3875982 4521979 4580706 4933068 5344157 5813973 6871059 7399602 7751964 8397961 9043958 9161412 10688314 11627946 13565937 13742118 14799204 16032471 16795922 18087916 21376628 23255892 25193883 27131874 27484236 32064942 33591844 40697811 48097413 50387766 54263748 58785727 64129884 75581649 81395622 96194826 100775532 117571454 151163298 162791244 176357181 192389652 235142908 302326596 352714362 529071543 705428724 1058143086 2116286172