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18082270900 = 22521571151737
BaseRepresentation
bin10000110101110010…
…011000111010110100
31201200011222112111001
4100311302120322310
5244013030132100
612150141453044
71210044523651
oct206562307264
951604875431
1018082270900
117739a74841
123607871184
1319222a74a5
14c37724c28
1570c709d6a
hex435c98eb4

18082270900 has 36 divisors (see below), whose sum is σ = 39488489068. Its totient is φ = 7186832640.

The previous prime is 18082270883. The next prime is 18082270901. The reversal of 18082270900 is 907228081.

It can be written as a sum of positive squares in 6 ways, for example, as 2213326116 + 15868944784 = 47046^2 + 125972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18082270900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18082270901) 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 11 ways as a sum of consecutive naturals, for example, 560169 + ... + 591568.

Almost surely, 218082270900 is an apocalyptic number.

18082270900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18082270900 is an abundant number, since it is smaller than the sum of its proper divisors (21406218168).

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

18082270900 is a wasteful number, since it uses less digits than its factorization.

18082270900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151908 (or 1151901 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

Adding to 18082270900 its reverse (907228081), we get a palindrome (18989498981).

The spelling of 18082270900 in words is "eighteen billion, eighty-two million, two hundred seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 1151737 2303474 4606948 5758685 11517370 23034740 28793425 57586850 115173700 180822709 361645418 723290836 904113545 1808227090 3616454180 4520567725 9041135450 18082270900