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18272631320 = 2353117898237
BaseRepresentation
bin10001000001001000…
…100011101000011000
31202011110011211212222
4101001020203220120
5244410243200240
612221101523212
71214545542416
oct210110435030
952143154788
1018272631320
1178274733a9
12365b573508
131952867ca8
14c54b182b6
1571e2aceb5
hex441223a18

18272631320 has 64 divisors (see below), whose sum is σ = 42468537600. Its totient is φ = 7068464640.

The previous prime is 18272631301. The next prime is 18272631323. The reversal of 18272631320 is 2313627281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18272631323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214242 + ... + 2222478.

It is an arithmetic number, because the mean of its divisors is an integer number (663570900).

Almost surely, 218272631320 is an apocalyptic number.

18272631320 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 18272631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234268800).

18272631320 is an abundant number, since it is smaller than the sum of its proper divisors (24195906280).

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

18272631320 is a wasteful number, since it uses less digits than its factorization.

18272631320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068 (or 10064 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 18272631320 in words is "eighteen billion, two hundred seventy-two million, six hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1789 3578 7156 8237 8945 14312 16474 17890 32948 35780 41185 55459 65896 71560 82370 110918 164740 221836 255347 277295 329480 443672 510694 554590 1021388 1109180 1276735 2042776 2218360 2553470 5106940 10213880 14735993 29471986 58943972 73679965 117887944 147359930 294719860 456815783 589439720 913631566 1827263132 2284078915 3654526264 4568157830 9136315660 18272631320