Search a number
-
+
84350850600 = 23352311452041
BaseRepresentation
bin100111010001110110…
…0111101011000101000
322001201120000011222210
41032203230331120220
52340222304204400
6102430015245120
76044202254142
oct1164354753050
9261646004883
1084350850600
1132855946585
1214420b197a0
137c53649923
14412293bc92
1522da449950
hex13a3b3d628

84350850600 has 96 divisors (see below), whose sum is σ = 262329013440. Its totient is φ = 22421184000.

The previous prime is 84350850557. The next prime is 84350850629. The reversal of 84350850600 is 605805348.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39421 + ... + 412620.

It is an arithmetic number, because the mean of its divisors is an integer number (2732593890).

Almost surely, 284350850600 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 84350850600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131164506720).

84350850600 is an abundant number, since it is smaller than the sum of its proper divisors (177978162840).

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

84350850600 is a wasteful number, since it uses less digits than its factorization.

84350850600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452371 (or 452362 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 84350850600 in words is "eighty-four billion, three hundred fifty million, eight hundred fifty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 311 600 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 7775 9330 12440 15550 18660 23325 31100 37320 46650 62200 93300 186600 452041 904082 1356123 1808164 2260205 2712246 3616328 4520410 5424492 6780615 9040820 10848984 11301025 13561230 18081640 22602050 27122460 33903075 45204100 54244920 67806150 90408200 135612300 140584751 271224600 281169502 421754253 562339004 702923755 843508506 1124678008 1405847510 1687017012 2108771265 2811695020 3374034024 3514618775 4217542530 5623390040 7029237550 8435085060 10543856325 14058475100 16870170120 21087712650 28116950200 42175425300 84350850600