Search a number
-
+
18939472272 = 2433761102673
BaseRepresentation
bin10001101000111000…
…010110100110010000
31210212220221212201000
4101220320112212100
5302242001103042
612411202342000
71240223600220
oct215070264620
953786855630
1018939472272
118039924926
12380695a900
131a2aa67536
14cb9500080
1575cad074c
hex468e16990

18939472272 has 160 divisors (see below), whose sum is σ = 63148616960. Its totient is φ = 5322516480.

The previous prime is 18939472259. The next prime is 18939472313. The reversal of 18939472272 is 27227493981.

It is a happy number.

18939472272 is a `hidden beast` number, since 18 + 93 + 9 + 472 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133128 + ... + 235800.

It is an arithmetic number, because the mean of its divisors is an integer number (394678856).

Almost surely, 218939472272 is an apocalyptic number.

18939472272 is a gapful number since it is divisible by the number (12) 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 18939472272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31574308480).

18939472272 is an abundant number, since it is smaller than the sum of its proper divisors (44209144688).

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

18939472272 is a wasteful number, since it uses less digits than its factorization.

18939472272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102758 (or 102746 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 18939472272 in words is "eighteen billion, nine hundred thirty-nine million, four hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 61 63 72 84 108 112 122 126 144 168 183 189 216 244 252 336 366 378 427 432 488 504 549 732 756 854 976 1008 1098 1281 1464 1512 1647 1708 2196 2562 2928 3024 3294 3416 3843 4392 5124 6588 6832 7686 8784 10248 11529 13176 15372 20496 23058 26352 30744 46116 61488 92232 102673 184464 205346 308019 410692 616038 718711 821384 924057 1232076 1437422 1642768 1848114 2156133 2464152 2772171 2874844 3696228 4312266 4928304 5544342 5749688 6263053 6468399 7392456 8624532 11088684 11499376 12526106 12936798 14784912 17249064 18789159 19405197 22177368 25052212 25873596 34498128 37578318 38810394 43841371 44354736 50104424 51747192 56367477 75156636 77620788 87682742 100208848 103494384 112734954 131524113 150313272 155241576 169102431 175365484 225469908 263048226 300626544 310483152 338204862 350730968 394572339 450939816 526096452 676409724 701461936 789144678 901879632 1052192904 1183717017 1352819448 1578289356 2104385808 2367434034 2705638896 3156578712 4734868068 6313157424 9469736136 18939472272