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18672278016 = 293716710399
BaseRepresentation
bin10001011000111101…
…000101101000000000
31210012022012000002110
4101120331011220000
5301220100344031
612324455415320
71230500513220
oct213075055000
953168160073
1018672278016
117a12017927
123751384540
1319b75b4822
14c91c2a080
15744401c46
hex458f45a00

18672278016 has 160 divisors (see below), whose sum is σ = 57196339200. Its totient is φ = 5302480896.

The previous prime is 18672278011. The next prime is 18672278021. The reversal of 18672278016 is 61087227681.

It is an interprime number because it is at equal distance from previous prime (18672278011) and next prime (18672278021).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18672278011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790385 + ... + 1800783.

It is an arithmetic number, because the mean of its divisors is an integer number (357477120).

Almost surely, 218672278016 is an apocalyptic number.

18672278016 is a gapful number since it is divisible by the number (16) 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 18672278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28598169600).

18672278016 is an abundant number, since it is smaller than the sum of its proper divisors (38524061184).

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

18672278016 is a wasteful number, since it uses less digits than its factorization.

18672278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 18672278016 in words is "eighteen billion, six hundred seventy-two million, two hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 167 168 192 224 256 334 336 384 448 501 512 668 672 768 896 1002 1169 1336 1344 1536 1792 2004 2338 2672 2688 3507 3584 4008 4676 5344 5376 7014 8016 9352 10399 10688 10752 14028 16032 18704 20798 21376 28056 31197 32064 37408 41596 42752 56112 62394 64128 72793 74816 83192 85504 112224 124788 128256 145586 149632 166384 218379 224448 249576 256512 291172 299264 332768 436758 448896 499152 582344 598528 665536 873516 897792 998304 1164688 1331072 1736633 1747032 1795584 1996608 2329376 2662144 3473266 3494064 3993216 4658752 5209899 5324288 6946532 6988128 7986432 9317504 10419798 12156431 13893064 13976256 15972864 18635008 20839596 24312862 27786128 27952512 36469293 37270016 41679192 48625724 55572256 55905024 72938586 83358384 97251448 111144512 111810048 145877172 166716768 194502896 222289024 291754344 333433536 389005792 444578048 583508688 666867072 778011584 889156096 1167017376 1333734144 1556023168 2334034752 2667468288 3112046336 4668069504 6224092672 9336139008 18672278016