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2028163564 = 2274171149167
BaseRepresentation
bin111100011100011…
…0101000111101100
312020100100101101001
41320320311013230
513123202213224
6533130330044
7101155051210
oct17070650754
95210311331
102028163564
11950933339
12487289924
132642584ab
1415350a940
15bd0c7544
hex78e351ec

2028163564 has 96 divisors (see below), whose sum is σ = 4267468800. Its totient is φ = 825484800.

The previous prime is 2028163549. The next prime is 2028163567. The reversal of 2028163564 is 4653618202.

It is a super-2 number, since 2×20281635642 = 8226894884674364192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028163567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12144609 + ... + 12144775.

It is an arithmetic number, because the mean of its divisors is an integer number (44452800).

Almost surely, 22028163564 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 2028163564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133734400).

2028163564 is an abundant number, since it is smaller than the sum of its proper divisors (2239305236).

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

2028163564 is a wasteful number, since it uses less digits than its factorization.

2028163564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2028163564 is about 45035.1369932412. The cubic root of 2028163564 is about 1265.8074831192.

It can be divided in two parts, 20281 and 63564, that added together give a triangular number (83845 = T409).

The spelling of 2028163564 in words is "two billion, twenty-eight million, one hundred sixty-three thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 71 82 142 149 164 167 284 287 298 334 497 574 596 668 994 1043 1148 1169 1988 2086 2338 2911 4172 4676 5822 6109 6847 10579 11644 11857 12218 13694 20377 21158 23714 24436 24883 27388 40754 42316 42763 47428 47929 49766 74053 81508 82999 85526 95858 99532 148106 165998 171052 174181 191716 296212 331996 348362 433739 486137 696724 867478 972274 1020203 1734956 1766693 1944548 2040406 3036173 3402959 3533386 4080812 6072346 6805918 7066772 7141421 12144692 12366851 13611836 14282842 24733702 28565684 49467404 72434413 144868826 289737652 507040891 1014081782 2028163564