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84800440000 = 265412716693
BaseRepresentation
bin100111011111010000…
…0000000011011000000
322002212212222200201001
41032332200000123000
52342132403040000
6102542355421344
76061301563333
oct1167640003300
9262785880631
1084800440000
1132a66701771
12145275b4854
137cc5831763
14416653061a
152314b5646a
hex13be8006c0

84800440000 has 140 divisors (see below), whose sum is σ = 211945955584. Its totient is φ = 33651072000.

The previous prime is 84800439949. The next prime is 84800440001. The reversal of 84800440000 is 4400848.

It is a happy number.

It is a super-2 number, since 2×848004400002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84800440001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5071654 + ... + 5088346.

Almost surely, 284800440000 is an apocalyptic number.

84800440000 is a gapful number since it is divisible by the number (80) 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 84800440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105972977792).

84800440000 is an abundant number, since it is smaller than the sum of its proper divisors (127145515584).

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

84800440000 is a wasteful number, since it uses less digits than its factorization.

84800440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16852 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 84800440000 its reverse (4400848), we get a palindrome (84804840848).

It can be divided in two parts, 84800 and 440000, that added together give a triangular number (524800 = T1024).

The spelling of 84800440000 in words is "eighty-four billion, eight hundred million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 160 200 250 254 320 400 500 508 625 635 800 1000 1016 1250 1270 1600 2000 2032 2500 2540 3175 4000 4064 5000 5080 6350 8000 8128 10000 10160 12700 15875 16693 20000 20320 25400 31750 33386 40000 40640 50800 63500 66772 79375 83465 101600 127000 133544 158750 166930 203200 254000 267088 317500 333860 417325 508000 534176 635000 667720 834650 1016000 1068352 1270000 1335440 1669300 2086625 2120011 2540000 2670880 3338600 4173250 4240022 5080000 5341760 6677200 8346500 8480044 10433125 10600055 13354400 16693000 16960088 20866250 21200110 26708800 33386000 33920176 41732500 42400220 53000275 66772000 67840352 83465000 84800440 106000550 133544000 135680704 166930000 169600880 212001100 265001375 333860000 339201760 424002200 530002750 667720000 678403520 848004400 1060005500 1325006875 1696008800 2120011000 2650013750 3392017600 4240022000 5300027500 8480044000 10600055000 16960088000 21200110000 42400220000 84800440000