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18339069952 = 219719263
BaseRepresentation
bin10001000101000110…
…000000000000000000
31202100002012021120001
4101011012000000000
5300024300214302
612231433525344
71216313344150
oct210506000000
952302167501
1018339069952
117860a21765
123679873854
13196355a7a8
14c5d890760
15725033787
hex445180000

18339069952 has 160 divisors (see below), whose sum is σ = 44291808000. Its totient is φ = 7417626624.

The previous prime is 18339069937. The next prime is 18339069961. The reversal of 18339069952 is 25996093381.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18339069893 and 18339069902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69730173 + ... + 69730435.

It is an arithmetic number, because the mean of its divisors is an integer number (276823800).

Almost surely, 218339069952 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 18339069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145904000).

18339069952 is an abundant number, since it is smaller than the sum of its proper divisors (25952738048).

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

18339069952 is an frugal number, since it uses more digits than its factorization.

18339069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 55.

The spelling of 18339069952 in words is "eighteen billion, three hundred thirty-nine million, sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 263 266 304 448 512 526 532 608 896 1024 1052 1064 1216 1792 1841 2048 2104 2128 2432 3584 3682 4096 4208 4256 4864 4997 7168 7364 8192 8416 8512 9728 9994 14336 14728 16384 16832 17024 19456 19988 28672 29456 32768 33664 34048 34979 38912 39976 57344 58912 65536 67328 68096 69958 77824 79952 114688 117824 131072 134656 136192 139916 155648 159904 229376 235648 262144 269312 272384 279832 311296 319808 458752 471296 524288 538624 544768 559664 622592 639616 917504 942592 1077248 1089536 1119328 1245184 1279232 1835008 1885184 2154496 2179072 2238656 2490368 2558464 3670016 3770368 4308992 4358144 4477312 4980736 5116928 7540736 8617984 8716288 8954624 9961472 10233856 15081472 17235968 17432576 17909248 20467712 30162944 34471936 34865152 35818496 40935424 60325888 68943872 69730304 71636992 81870848 120651776 137887744 143273984 163741696 241303552 286547968 327483392 482607104 573095936 654966784 965214208 1146191872 1309933568 2292383744 2619867136 4584767488 9169534976 18339069952