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18900000680 = 23511233894801
BaseRepresentation
bin10001100110100001…
…110001111110101000
31210210011200111212012
4101212201301332220
5302201400010210
612403232335052
71236234232541
oct214641617650
953704614765
1018900000680
118019615280
1237b56a4488
131a22827372
14cb41874c8
157593d5305
hex466871fa8

18900000680 has 128 divisors (see below), whose sum is σ = 48542457600. Its totient is φ = 6555648000.

The previous prime is 18900000677. The next prime is 18900000683. The reversal of 18900000680 is 8600000981.

It is an interprime number because it is at equal distance from previous prime (18900000677) and next prime (18900000683).

It is not an unprimeable number, because it can be changed into a prime (18900000683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3934280 + ... + 3939080.

It is an arithmetic number, because the mean of its divisors is an integer number (379237950).

Almost surely, 218900000680 is an apocalyptic number.

18900000680 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 18900000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271228800).

18900000680 is an abundant number, since it is smaller than the sum of its proper divisors (29642456920).

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

18900000680 is a wasteful number, since it uses less digits than its factorization.

18900000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 18900000680 in words is "eighteen billion, nine hundred million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 389 440 460 506 778 920 1012 1265 1556 1945 2024 2530 3112 3890 4279 4801 5060 7780 8558 8947 9602 10120 15560 17116 17894 19204 21395 24005 34232 35788 38408 42790 44735 48010 52811 71576 85580 89470 96020 98417 105622 110423 171160 178940 192040 196834 211244 220846 264055 357880 393668 422488 441692 492085 528110 552115 787336 883384 984170 1056220 1104230 1214653 1867589 1968340 2112440 2208460 2429306 3735178 3936680 4416920 4858612 6073265 7470356 9337945 9717224 12146530 14940712 18675890 20543479 24293060 37351780 41086958 42954547 48586120 74703560 82173916 85909094 102717395 164347832 171818188 205434790 214772735 343636376 410869580 429545470 472500017 821739160 859090940 945000034 1718181880 1890000068 2362500085 3780000136 4725000170 9450000340 18900000680