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18808629045248 = 211721371368077
BaseRepresentation
bin1000100011011001110011…
…01001110010100000000000
32110121002100200211022102202
410101230321221302200000
54431130033013421443
6104000322003532332
73650610235006100
oct421547151624000
973532320738382
1018808629045248
115aa17708353a9
1221392a398a0a8
13a65852667283
144904b1b85200
152293c79ee7b8
hex111b39a72800

18808629045248 has 144 divisors (see below), whose sum is σ = 44067529839060. Its totient is φ = 8001996914688.

The previous prime is 18808629045187. The next prime is 18808629045307. The reversal of 18808629045248 is 84254092680881.

It can be written as a sum of positive squares in 2 ways, for example, as 18012622480384 + 796006564864 = 4244128^2 + 892192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13064186 + ... + 14432262.

Almost surely, 218808629045248 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 18808629045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22033764919530).

18808629045248 is an abundant number, since it is smaller than the sum of its proper divisors (25258900793812).

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

18808629045248 is a wasteful number, since it uses less digits than its factorization.

18808629045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368250 (or 1368223 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 65.

The spelling of 18808629045248 in words is "eighteen trillion, eight hundred eight billion, six hundred twenty-nine million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 137 196 224 256 274 392 448 512 548 784 896 959 1024 1096 1568 1792 1918 2048 2192 3136 3584 3836 4384 6272 6713 7168 7672 8768 12544 13426 14336 15344 17536 25088 26852 30688 35072 50176 53704 61376 70144 100352 107408 122752 140288 214816 245504 280576 429632 491008 859264 982016 1368077 1718528 1964032 2736154 3437056 5472308 6874112 9576539 10944616 13748224 19153078 21889232 38306156 43778464 67035773 76612312 87556928 134071546 153224624 175113856 187426549 268143092 306449248 350227712 374853098 536286184 612898496 700455424 749706196 1072572368 1225796992 1311985843 1400910848 1499412392 2145144736 2451593984 2623971686 2801821696 2998824784 4290289472 4903187968 5247943372 5997649568 8580578944 9183900901 9806375936 10495886744 11995299136 17161157888 18367801802 19612751872 20991773488 23990598272 34322315776 36735603604 41983546976 47981196544 68644631552 73471207208 83967093952 95962393088 137289263104 146942414416 167934187904 191924786176 293884828832 335868375808 383849572352 587769657664 671736751616 1175539315328 1343473503232 2351078630656 2686947006464 4702157261312 9404314522624 18808629045248