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84820395900 = 2235223101121711
BaseRepresentation
bin100111011111110110…
…0001000011101111100
322002221021112120001110
41032333230020131330
52342203010132100
6102544351242020
76061633316652
oct1167754103574
9262837476043
1084820395900
1132a769a1949
1214532219310
137cc99caa96
144169046dd2
152316799250
hex13bfb0877c

84820395900 has 144 divisors (see below), whose sum is σ = 258621447168. Its totient is φ = 21420960000.

The previous prime is 84820395889. The next prime is 84820395917. The reversal of 84820395900 is 959302848.

It is a self number, because there is not a number n which added to its sum of digits gives 84820395900.

It is a congruent number.

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, 636045 + ... + 757755.

It is an arithmetic number, because the mean of its divisors is an integer number (1795982272).

Almost surely, 284820395900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84820395900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129310723584).

84820395900 is an abundant number, since it is smaller than the sum of its proper divisors (173801051268).

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

84820395900 is a wasteful number, since it uses less digits than its factorization.

84820395900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121852 (or 121845 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 84820395900 in words is "eighty-four billion, eight hundred twenty million, three hundred ninety-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 101 115 138 150 202 230 276 300 303 345 404 460 505 575 606 690 1010 1150 1212 1380 1515 1725 2020 2300 2323 2525 3030 3450 4646 5050 6060 6900 6969 7575 9292 10100 11615 13938 15150 23230 27876 30300 34845 46460 58075 69690 116150 121711 139380 174225 232300 243422 348450 365133 486844 608555 696900 730266 1217110 1460532 1825665 2434220 2799353 3042775 3651330 5598706 6085550 7302660 8398059 9128325 11197412 12171100 12292811 13996765 16796118 18256650 24585622 27993530 33592236 36513300 36878433 41990295 49171244 55987060 61464055 69983825 73756866 83980590 122928110 139967650 147513732 167961180 184392165 209951475 245856220 279935300 282734653 307320275 368784330 419902950 565469306 614640550 737568660 839805900 848203959 921960825 1130938612 1229281100 1413673265 1696407918 1843921650 2827346530 3392815836 3687843300 4241019795 5654693060 7068366325 8482039590 14136732650 16964079180 21205098975 28273465300 42410197950 84820395900