Search a number
-
+
19882162300 = 225271113198623
BaseRepresentation
bin10010100001000100…
…011011100001111100
31220022121210111022111
4102201010123201330
5311204313143200
613044515423404
71302461406520
oct224104334174
956277714274
1019882162300
118482a648a0
123a2a5b4b64
131b4b159ca0
14d687add80
157b57410ba
hex4a111b87c

19882162300 has 144 divisors (see below), whose sum is σ = 57928292352. Its totient is φ = 5720313600.

The previous prime is 19882162291. The next prime is 19882162309. The reversal of 19882162300 is 326128891.

It is an interprime number because it is at equal distance from previous prime (19882162291) and next prime (19882162309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19882162309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789 + ... + 199411.

It is an arithmetic number, because the mean of its divisors is an integer number (402279808).

Almost surely, 219882162300 is an apocalyptic number.

19882162300 is a gapful number since it is divisible by the number (10) 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 19882162300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28964146176).

19882162300 is an abundant number, since it is smaller than the sum of its proper divisors (38046130052).

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

19882162300 is a wasteful number, since it uses less digits than its factorization.

19882162300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198668 (or 198661 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

It can be divided in two parts, 198821 and 62300, that added together give a square (261121 = 5112).

The spelling of 19882162300 in words is "nineteen billion, eight hundred eighty-two million, one hundred sixty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 198623 397246 794492 993115 1390361 1986230 2184853 2582099 2780722 3972460 4369706 4965575 5164198 5561444 6951805 8739412 9931150 10328396 10924265 12910495 13903610 15293971 18074693 19862300 21848530 25820990 27807220 28403089 30587942 34759025 36149386 43697060 51641980 54621325 56806178 61175884 64552475 69518050 72298772 76469855 90373465 109242650 113612356 129104950 139036100 142015445 152939710 180746930 198821623 218485300 258209900 284030890 305879420 361493860 382349275 397643246 451867325 568061780 710077225 764698550 795286492 903734650 994108115 1420154450 1529397100 1807469300 1988216230 2840308900 3976432460 4970540575 9941081150 19882162300