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21520506700 = 22527114364997
BaseRepresentation
bin10100000010101110…
…001101111101001100
32001112210122000022201
4110002232031331030
5323033222203300
613515243051244
71361204201020
oct240256157514
961483560281
1021520506700
119143846230
124207210b24
13204c6c9b44
141082206380
1585e4b666a
hex502b8df4c

21520506700 has 144 divisors (see below), whose sum is σ = 59577686784. Its totient is φ = 6551596800.

The previous prime is 21520506643. The next prime is 21520506701. The reversal of 21520506700 is 760502512.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21520506701) 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 47 ways as a sum of consecutive naturals, for example, 298602 + ... + 363598.

It is an arithmetic number, because the mean of its divisors is an integer number (413733936).

Almost surely, 221520506700 is an apocalyptic number.

21520506700 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 21520506700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29788843392).

21520506700 is an abundant number, since it is smaller than the sum of its proper divisors (38057180084).

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

21520506700 is a wasteful number, since it uses less digits than its factorization.

21520506700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65072 (or 65065 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 21520506700 in words is "twenty-one billion, five hundred twenty million, five hundred six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 43 44 50 55 70 77 86 100 110 140 154 172 175 215 220 275 301 308 350 385 430 473 550 602 700 770 860 946 1075 1100 1204 1505 1540 1892 1925 2150 2365 3010 3311 3850 4300 4730 6020 6622 7525 7700 9460 11825 13244 15050 16555 23650 30100 33110 47300 64997 66220 82775 129994 165550 259988 324985 331100 454979 649970 714967 909958 1299940 1429934 1624925 1819916 2274895 2794871 2859868 3249850 3574835 4549790 5004769 5589742 6499700 7149670 9099580 10009538 11179484 11374475 13974355 14299340 17874175 19564097 20019076 22748950 25023845 27948710 30743581 35748350 39128194 45497900 50047690 55897420 61487162 69871775 71496700 78256388 97820485 100095380 122974324 125119225 139743550 153717905 195640970 215205067 250238450 279487100 307435810 391281940 430410134 489102425 500476900 614871620 768589525 860820268 978204850 1076025335 1537179050 1956409700 2152050670 3074358100 4304101340 5380126675 10760253350 21520506700