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18005034672384 = 28353795599249
BaseRepresentation
bin1000001100000000111111…
…01100100010000100000000
32100202021010211020111211020
410012000133230202010000
54324443302334004014
6102143222043345440
73535551354356634
oct406003754420400
970667124214736
1018005034672384
11581198a756121
1220295b5822280
13a07b37b2ab66
1446363c2d6dc4
15213543dad1a9
hex10601fb22100

18005034672384 has 144 divisors (see below), whose sum is σ = 49441825440000. Its totient is φ = 5813900771328.

The previous prime is 18005034672377. The next prime is 18005034672397. The reversal of 18005034672384 is 48327643050081.

It is a happy number.

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, 415992 + ... + 6015240.

It is an arithmetic number, because the mean of its divisors is an integer number (343346010000).

Almost surely, 218005034672384 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 18005034672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24720912720000).

18005034672384 is an abundant number, since it is smaller than the sum of its proper divisors (31436790767616).

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

18005034672384 is an equidigital number, since it uses as much as digits as its factorization.

18005034672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599400 (or 5599386 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 18005034672384 in words is "eighteen trillion, five billion, thirty-four million, six hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 79 96 106 128 158 159 192 212 237 256 316 318 384 424 474 632 636 768 848 948 1264 1272 1696 1896 2528 2544 3392 3792 4187 5056 5088 6784 7584 8374 10112 10176 12561 13568 15168 16748 20224 20352 25122 30336 33496 40704 50244 60672 66992 100488 133984 200976 267968 401952 535936 803904 1071872 1607808 3215616 5599249 11198498 16797747 22396996 33595494 44793992 67190988 89587984 134381976 179175968 268763952 296760197 358351936 442340671 537527904 593520394 716703872 884681342 890280591 1075055808 1187040788 1327022013 1433407744 1769362684 1780561182 2150111616 2374081576 2654044026 3538725368 3561122364 4300223232 4748163152 5308088052 7077450736 7122244728 9496326304 10616176104 14154901472 14244489456 18992652608 21232352208 23444055563 28309802944 28488978912 37985305216 42464704416 46888111126 56619605888 56977957824 70332166689 75970610432 84929408832 93776222252 113239211776 113955915648 140664333378 169858817664 187552444504 227911831296 281328666756 339717635328 375104889008 562657333512 750209778016 1125314667024 1500419556032 2250629334048 3000839112064 4501258668096 6001678224128 9002517336192 18005034672384