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2164308012 = 2234171920681
BaseRepresentation
bin1000000100000000…
…1011100000101100
312120211112020110000
42001000023200230
513413030324022
6554432344300
7104430212616
oct20100134054
95524466400
102164308012
11a10771709
125049a5090
13286515939
14167629db6
15ca01b6ac
hex8100b82c

2164308012 has 120 divisors (see below), whose sum is σ = 6306355440. Its totient is φ = 643230720.

The previous prime is 2164308011. The next prime is 2164308061. The reversal of 2164308012 is 2108034612.

2164308012 is a `hidden beast` number, since 2 + 1 + 643 + 0 + 8 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2164308011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94312 + ... + 114992.

It is an arithmetic number, because the mean of its divisors is an integer number (52552962).

Almost surely, 22164308012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164308012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153177720).

2164308012 is an abundant number, since it is smaller than the sum of its proper divisors (4142047428).

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

2164308012 is a wasteful number, since it uses less digits than its factorization.

2164308012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20733 (or 20722 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2164308012 is about 46522.1238982057. The cubic root of 2164308012 is about 1293.5196257731.

The spelling of 2164308012 in words is "two billion, one hundred sixty-four million, three hundred eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1292 1377 1539 1836 1938 2052 2754 2907 3078 3876 5508 5814 6156 8721 11628 17442 20681 26163 34884 41362 52326 62043 82724 104652 124086 186129 248172 351577 372258 392939 558387 703154 744516 785878 1054731 1116774 1178817 1406308 1571756 1675161 2109462 2233548 2357634 3164193 3350322 3536451 4218924 4715268 6328386 6679963 6700644 7072902 9492579 10609353 12656772 13359926 14145804 18985158 20039889 21218706 26719852 28477737 31828059 37970316 40079778 42437412 56955474 60119667 63656118 80159556 113910948 120239334 127312236 180359001 240478668 360718002 541077003 721436004 1082154006 2164308012