Search a number
-
+
820064516868200 = 235261311036064319
BaseRepresentation
bin1011101001110110000010011…
…0001110001000100001101000
310222112121101212011212020000102
42322131200212032020201220
51324441414112304240300
612024044234352324532
7334506464132141342
oct27235404616104150
93875541764766012
10820064516868200
1121833045480930a
1277b85bb7543748
13292779a153ac96
1410671497820292
1564c1b601670d5
hex2e9d826388868

820064516868200 has 96 divisors (see below), whose sum is σ = 1911492099532800. Its totient is φ = 327193728226560.

The previous prime is 820064516868143. The next prime is 820064516868221. The reversal of 820064516868200 is 2868615460028.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132195641 + ... + 138259959.

It is an arithmetic number, because the mean of its divisors is an integer number (19911376036800).

Almost surely, 2820064516868200 is an apocalyptic number.

It is an amenable number.

820064516868200 is an abundant number, since it is smaller than the sum of its proper divisors (1091427582664600).

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

820064516868200 is a wasteful number, since it uses less digits than its factorization.

820064516868200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066051 (or 6066042 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 820064516868200 in words is "eight hundred twenty trillion, sixty-four billion, five hundred sixteen million, eight hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 613 1103 1226 2206 2452 3065 4412 4904 5515 6130 8824 11030 12260 15325 22060 24520 27575 30650 44120 55150 61300 110300 122600 220600 676139 1352278 2704556 3380695 5409112 6064319 6761390 12128638 13522780 16903475 24257276 27045560 30321595 33806950 48514552 60643190 67613900 121286380 135227800 151607975 242572760 303215950 606431900 1212863800 3717427547 6688943857 7434855094 13377887714 14869710188 18587137735 26755775428 29739420376 33444719285 37174275470 53511550856 66889438570 74348550940 92935688675 133778877140 148697101880 167223596425 185871377350 267557754280 334447192850 371742754700 668894385700 743485509400 1337788771400 4100322584341 8200645168682 16401290337364 20501612921705 32802580674728 41003225843410 82006451686820 102508064608525 164012903373640 205016129217050 410032258434100 820064516868200