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18812817440 = 2551767103231
BaseRepresentation
bin10001100001010101…
…001101000000100000
31210120002122010221022
4101201111031000200
5302012040124230
612350435545012
71234125211154
oct214125150040
953502563838
1018812817440
117a8438820a
12379045b168
131a0a750551
14ca6771064
157519131e5
hex46154d020

18812817440 has 96 divisors (see below), whose sum is σ = 47762555904. Its totient is φ = 6976696320.

The previous prime is 18812817421. The next prime is 18812817479. The reversal of 18812817440 is 4471821881.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18812817391 and 18812817400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130625 + ... + 233855.

It is an arithmetic number, because the mean of its divisors is an integer number (497526624).

Almost surely, 218812817440 is an apocalyptic number.

18812817440 is a gapful number since it is divisible by the number (10) 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 18812817440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881277952).

18812817440 is an abundant number, since it is smaller than the sum of its proper divisors (28949738464).

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

18812817440 is a wasteful number, since it uses less digits than its factorization.

18812817440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103330 (or 103322 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 44.

The spelling of 18812817440 in words is "eighteen billion, eight hundred twelve million, eight hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 67 68 80 85 134 136 160 170 268 272 335 340 536 544 670 680 1072 1139 1340 1360 2144 2278 2680 2720 4556 5360 5695 9112 10720 11390 18224 22780 36448 45560 91120 103231 182240 206462 412924 516155 825848 1032310 1651696 1754927 2064620 3303392 3509854 4129240 6916477 7019708 8258480 8774635 13832954 14039416 16516960 17549270 27665908 28078832 34582385 35098540 55331816 56157664 69164770 70197080 110663632 117580109 138329540 140394160 221327264 235160218 276659080 280788320 470320436 553318160 587900545 940640872 1106636320 1175801090 1881281744 2351602180 3762563488 4703204360 9406408720 18812817440