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17918242944 = 273715834211
BaseRepresentation
bin10000101100000000…
…101011000010000000
31201020202100001102120
4100230000223002000
5243144032233234
612122002044240
71203013360230
oct205400530200
951222301376
1017918242944
117665421148
123580949680
1318c7306524
14c1da27cc0
156ed109049
hex42c02b080

17918242944 has 128 divisors (see below), whose sum is σ = 54441953280. Its totient is φ = 5115048960.

The previous prime is 17918242939. The next prime is 17918242967. The reversal of 17918242944 is 44924281971.

It is a tau number, because it is divible by the number of its divisors (128).

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, 4252999 + ... + 4257209.

It is an arithmetic number, because the mean of its divisors is an integer number (425327760).

Almost surely, 217918242944 is an apocalyptic number.

17918242944 is a gapful number since it is divisible by the number (14) 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 17918242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27220976640).

17918242944 is an abundant number, since it is smaller than the sum of its proper divisors (36523710336).

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

17918242944 is a wasteful number, since it uses less digits than its factorization.

17918242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5806 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 17918242944 in words is "seventeen billion, nine hundred eighteen million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1583 2688 3166 4211 4749 6332 8422 9498 11081 12633 12664 16844 18996 22162 25266 25328 29477 33243 33688 37992 44324 50532 50656 58954 66486 67376 75984 88431 88648 101064 101312 117908 132972 134752 151968 176862 177296 202128 202624 235816 265944 269504 303936 353724 354592 404256 471632 531888 539008 607872 707448 709184 808512 943264 1063776 1414896 1418368 1617024 1886528 2127552 2829792 3773056 4255104 5659584 6666013 11319168 13332026 19998039 26664052 39996078 46662091 53328104 79992156 93324182 106656208 139986273 159984312 186648364 213312416 279972546 319968624 373296728 426624832 559945092 639937248 746593456 853249664 1119890184 1279874496 1493186912 2239780368 2559748992 2986373824 4479560736 5972747648 8959121472 17918242944