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84014848080 = 24335173224831
BaseRepresentation
bin100111000111110101…
…1001101100001010000
322000212010202111012000
41032033223031201100
52334030300114310
6102332413434000
76032652266022
oct1161753154120
9260763674160
1084014848080
11326a3211949
121434849b900
137bcbb54977
1440d0076012
1522babc84c0
hex138facd850

84014848080 has 160 divisors (see below), whose sum is σ = 291058513920. Its totient is φ = 22274357760.

The previous prime is 84014848069. The next prime is 84014848087. The reversal of 84014848080 is 8084841048.

84014848080 is a `hidden beast` number, since 84 + 0 + 14 + 8 + 480 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84014848087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261265 + ... + 486095.

It is an arithmetic number, because the mean of its divisors is an integer number (1819115712).

Almost surely, 284014848080 is an apocalyptic number.

84014848080 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 84014848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145529256960).

84014848080 is an abundant number, since it is smaller than the sum of its proper divisors (207043665840).

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

84014848080 is a wasteful number, since it uses less digits than its factorization.

84014848080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225026 (or 225014 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 84014848080 in words is "eighty-four billion, fourteen million, eight hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 173 180 216 240 270 346 360 432 519 540 692 720 865 1038 1080 1384 1557 1730 2076 2160 2595 2768 3114 3460 4152 4671 5190 6228 6920 7785 8304 9342 10380 12456 13840 15570 18684 20760 23355 24912 31140 37368 41520 46710 62280 74736 93420 124560 186840 224831 373680 449662 674493 899324 1124155 1348986 1798648 2023479 2248310 2697972 3372465 3597296 4046958 4496620 5395944 6070437 6744930 8093916 8993240 10117395 10791888 12140874 13489860 16187832 17986480 20234790 24281748 26979720 30352185 32375664 38895763 40469580 48563496 53959440 60704370 77791526 80939160 97126992 116687289 121408740 155583052 161878320 194478815 233374578 242817480 311166104 350061867 388957630 466749156 485634960 583436445 622332208 700123734 777915260 933498312 1050185601 1166872890 1400247468 1555830520 1750309335 1866996624 2100371202 2333745780 2800494936 3111661040 3500618670 4200742404 4667491560 5250928005 5600989872 7001237340 8401484808 9334983120 10501856010 14002474680 16802969616 21003712020 28004949360 42007424040 84014848080