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21686482300 = 22527733971069
BaseRepresentation
bin10100001100100111…
…010111010101111100
32001222100221110001011
4110030213113111330
5323403214413200
613543532325004
71365261025630
oct241447272574
961870843034
1021686482300
1192194aa14a
124252913764
132077c00462
14109a28cdc0
1586dd4e5ba
hex50c9d757c

21686482300 has 144 divisors (see below), whose sum is σ = 54707679040. Its totient is φ = 7308195840.

The previous prime is 21686482243. The next prime is 21686482303. The reversal of 21686482300 is 328468612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21686482303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20286166 + ... + 20287234.

Almost surely, 221686482300 is an apocalyptic number.

21686482300 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 21686482300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27353839520).

21686482300 is an abundant number, since it is smaller than the sum of its proper divisors (33021196740).

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

21686482300 is a wasteful number, since it uses less digits than its factorization.

21686482300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 21686482300 in words is "twenty-one billion, six hundred eighty-six million, four hundred eighty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 397 511 700 730 794 1022 1069 1460 1588 1825 1985 2044 2138 2555 2779 3650 3970 4276 5110 5345 5558 7300 7483 7940 9925 10220 10690 11116 12775 13895 14966 19850 21380 25550 26725 27790 28981 29932 37415 39700 51100 53450 55580 57962 69475 74830 78037 106900 115924 138950 144905 149660 156074 187075 202867 277900 289810 312148 374150 390185 405734 424393 546259 579620 724525 748300 780370 811468 848786 1014335 1092518 1449050 1560740 1697572 1950925 2028670 2121965 2185036 2731295 2898100 2970751 3901850 4057340 4243930 5071675 5462590 5941502 7803700 8487860 10143350 10609825 10925180 11883004 13656475 14853755 20286700 21219650 27312950 29707510 30980689 42439300 54625900 59415020 61961378 74268775 123922756 148537550 154903445 216864823 297075100 309806890 433729646 619613780 774517225 867459292 1084324115 1549034450 2168648230 3098068900 4337296460 5421620575 10843241150 21686482300