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18933509088 = 2532137964013
BaseRepresentation
bin10001101000100001…
…100110101111100000
31210212111201220202100
4101220201212233200
5302233434242323
612410430450400
71240122112644
oct215041465740
953774656670
1018933509088
11803652167a
123804963a00
131a2975a220
14cb87cac24
1575c303943
hex468866be0

18933509088 has 144 divisors (see below), whose sum is σ = 58718761920. Its totient is φ = 5751862272.

The previous prime is 18933509087. The next prime is 18933509099. The reversal of 18933509088 is 88090533981.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18933509087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263770 + ... + 327782.

It is an arithmetic number, because the mean of its divisors is an integer number (407769180).

Almost surely, 218933509088 is an apocalyptic number.

18933509088 is a gapful number since it is divisible by the number (18) 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 18933509088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29359380960).

18933509088 is an abundant number, since it is smaller than the sum of its proper divisors (39785252832).

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

18933509088 is a wasteful number, since it uses less digits than its factorization.

18933509088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64121 (or 64110 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 18933509088 in words is "eighteen billion, nine hundred thirty-three million, five hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 79 96 104 117 144 156 158 208 234 237 288 312 316 416 468 474 624 632 711 936 948 1027 1248 1264 1422 1872 1896 2054 2528 2844 3081 3744 3792 4108 5688 6162 7584 8216 9243 11376 12324 16432 18486 22752 24648 32864 36972 49296 64013 73944 98592 128026 147888 192039 256052 295776 384078 512104 576117 768156 832169 1024208 1152234 1536312 1664338 2048416 2304468 2496507 3072624 3328676 4608936 4993014 5057027 6145248 6657352 7489521 9217872 9986028 10114054 13314704 14979042 15171081 18435744 19972056 20228108 26629408 29958084 30342162 39944112 40456216 45513243 59916168 60684324 65741351 79888224 80912432 91026486 119832336 121368648 131482702 161824864 182052972 197224053 239664672 242737296 262965404 364105944 394448106 485474592 525930808 591672159 728211888 788896212 1051861616 1183344318 1456423776 1577792424 2103723232 2366688636 3155584848 4733377272 6311169696 9466754544 18933509088