Search a number
-
+
18083408000 = 27537161459
BaseRepresentation
bin10000110101110110…
…101110100010000000
31201200021010022021212
4100311312232202000
5244013323024000
612150222105252
71210060301060
oct206566564200
951607108255
1018083408000
11773a681099
12360811b228
1319225b4c28
14c3793d3a0
1570c881c35
hex435dae880

18083408000 has 128 divisors (see below), whose sum is σ = 51383030400. Its totient is φ = 6199987200.

The previous prime is 18083407999. The next prime is 18083408027. The reversal of 18083408000 is 80438081.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31271 + ... + 192729.

It is an arithmetic number, because the mean of its divisors is an integer number (401429925).

Almost surely, 218083408000 is an apocalyptic number.

18083408000 is a gapful number since it is divisible by the number (10) 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 18083408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691515200).

18083408000 is an abundant number, since it is smaller than the sum of its proper divisors (33299622400).

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

18083408000 is an equidigital number, since it uses as much as digits as its factorization.

18083408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161495 (or 161473 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 18083408000 in words is "eighteen billion, eighty-three million, four hundred eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 161459 322918 645836 807295 1130213 1291672 1614590 2260426 2583344 3229180 4036475 4520852 5166688 5651065 6458360 8072950 9041704 10333376 11302130 12916720 16145900 18083408 20182375 20666752 22604260 25833440 28255325 32291800 36166816 40364750 45208520 51666880 56510650 64583600 72333632 80729500 90417040 103333760 113021300 129167200 141276625 144667264 161459000 180834080 226042600 258334400 282553250 322918000 361668160 452085200 516668800 565106500 645836000 723336320 904170400 1130213000 1291672000 1808340800 2260426000 2583344000 3616681600 4520852000 9041704000 18083408000