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850114534400 = 21052223148913
BaseRepresentation
bin11000101111011101100…
…01100101110000000000
310000021021221110212021022
430113232301211300000
5102412013310100100
61450312012445012
7115263426213215
oct14275661456000
93007257425238
10850114534400
112a859354617a
12118911779768
136221c67b621
142d207d8bb0c
15171a7c5ce85
hexc5eec65c00

850114534400 has 132 divisors (see below), whose sum is σ = 2116718396352. Its totient is φ = 338518671360.

The previous prime is 850114534391. The next prime is 850114534403. The reversal of 850114534400 is 4435411058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850114534403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5634344 + ... + 5783256.

Almost surely, 2850114534400 is an apocalyptic number.

850114534400 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 850114534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058359198176).

850114534400 is an abundant number, since it is smaller than the sum of its proper divisors (1266603861952).

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

850114534400 is a wasteful number, since it uses less digits than its factorization.

850114534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149166 (or 149143 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 850114534400 its reverse (4435411058), we get a palindrome (854549945458).

The spelling of 850114534400 in words is "eight hundred fifty billion, one hundred fourteen million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 223 256 320 400 446 512 640 800 892 1024 1115 1280 1600 1784 2230 2560 3200 3568 4460 5120 5575 6400 7136 8920 11150 12800 14272 17840 22300 25600 28544 35680 44600 57088 71360 89200 114176 142720 148913 178400 228352 285440 297826 356800 570880 595652 713600 744565 1141760 1191304 1427200 1489130 2382608 2854400 2978260 3722825 4765216 5708800 5956520 7445650 9530432 11913040 14891300 19060864 23826080 29782600 33207599 38121728 47652160 59565200 66415198 76243456 95304320 119130400 132830396 152486912 166037995 190608640 238260800 265660792 332075990 381217280 476521600 531321584 664151980 762434560 830189975 953043200 1062643168 1328303960 1660379950 1906086400 2125286336 2656607920 3320759900 3812172800 4250572672 5313215840 6641519800 8501145344 10626431680 13283039600 17002290688 21252863360 26566079200 34004581376 42505726720 53132158400 85011453440 106264316800 170022906880 212528633600 425057267200 850114534400