Search a number
-
+
20985861900 = 22352434734613
BaseRepresentation
bin10011100010110110…
…101101011100001100
32000011112121020112110
4103202312231130030
5320434340040100
613350223504020
71342022611563
oct234266553414
960145536473
1020985861900
118999a76723
124098158010
131c95a04883
1410311d2bda
1582c5a8250
hex4e2dad70c

20985861900 has 144 divisors (see below), whose sum is σ = 63454938624. Its totient is φ = 5349630720.

The previous prime is 20985861899. The next prime is 20985861929. The reversal of 20985861900 is 916858902.

It is a happy number.

It is a super-2 number, since 2×209858619002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20985861900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588994 + ... + 623606.

It is an arithmetic number, because the mean of its divisors is an integer number (440659296).

Almost surely, 220985861900 is an apocalyptic number.

20985861900 is a gapful number since it is divisible by the number (20) 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 20985861900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31727469312).

20985861900 is an abundant number, since it is smaller than the sum of its proper divisors (42469076724).

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

20985861900 is a wasteful number, since it uses less digits than its factorization.

20985861900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34720 (or 34713 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 20985861900 in words is "twenty billion, nine hundred eighty-five million, eight hundred sixty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 47 50 60 75 86 94 100 129 141 150 172 188 215 235 258 282 300 430 470 516 564 645 705 860 940 1075 1175 1290 1410 2021 2150 2350 2580 2820 3225 3525 4042 4300 4700 6063 6450 7050 8084 10105 12126 12900 14100 20210 24252 30315 34613 40420 50525 60630 69226 101050 103839 121260 138452 151575 173065 202100 207678 303150 346130 415356 519195 606300 692260 865325 1038390 1488359 1626811 1730650 2076780 2595975 2976718 3253622 3461300 4465077 4880433 5191950 5953436 6507244 7441795 8134055 8930154 9760866 10383900 14883590 16268110 17860308 19521732 22325385 24402165 29767180 32536220 37208975 40670275 44650770 48804330 69952873 74417950 81340550 89301540 97608660 111626925 122010825 139905746 148835900 162681100 209858619 223253850 244021650 279811492 349764365 419717238 446507700 488043300 699528730 839434476 1049293095 1399057460 1748821825 2098586190 3497643650 4197172380 5246465475 6995287300 10492930950 20985861900