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18102478016 = 2671713991699
BaseRepresentation
bin10000110110111111…
…011110010011000000
31201201121000011102202
4100312333132103000
5244033213244031
612152142532332
71210411344560
oct206677362300
951647004382
1018102478016
11774a416737
1236125970a8
131926530c6c
14c3a2a4da0
1570e39c2cb
hex436fde4c0

18102478016 has 112 divisors (see below), whose sum is σ = 43525440000. Its totient is φ = 7292325888.

The previous prime is 18102477997. The next prime is 18102478021. The reversal of 18102478016 is 61087420181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 10653935 + ... + 10655633.

It is an arithmetic number, because the mean of its divisors is an integer number (388620000).

Almost surely, 218102478016 is an apocalyptic number.

18102478016 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 18102478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762720000).

18102478016 is an abundant number, since it is smaller than the sum of its proper divisors (25422961984).

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

18102478016 is a wasteful number, since it uses less digits than its factorization.

18102478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

Adding to 18102478016 its reverse (61087420181), we get a palindrome (79189898197).

The spelling of 18102478016 in words is "eighteen billion, one hundred two million, four hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1399 1699 1904 2798 3398 3808 5596 6796 7616 9793 11192 11893 13592 19586 22384 23783 23786 27184 28883 39172 44768 47566 47572 54368 57766 78344 89536 95132 95144 108736 115532 156688 166481 190264 190288 202181 231064 313376 332962 380528 380576 404362 462128 626752 665924 761056 761152 808724 924256 1331848 1522112 1617448 1848512 2376901 2663696 3234896 4753802 5327392 6469792 9507604 10654784 12939584 16638307 19015208 33276614 38030416 40407317 66553228 76060832 80814634 133106456 152121664 161629268 266212912 282851219 323258536 532425824 565702438 646517072 1064851648 1131404876 1293034144 2262809752 2586068288 4525619504 9051239008 18102478016