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18484582396900 = 22524299372
BaseRepresentation
bin1000011001111110001101…
…11101111011001111100100
32102110002221022212222111011
410030333012331323033210
54410322411043200100
6103151411103352004
73615316116645064
oct414770675731744
972402838788434
1018484582396900
1159872a3964304
1220a65292b2604
13a4111c988679
1447c9311433a4
15220c5e1d7bba
hex10cfc6f7b3e4

18484582396900 has 27 divisors (see below), whose sum is σ = 40111637097819. Its totient is φ = 7393815761280.

The previous prime is 18484582396823. The next prime is 18484582396901. The reversal of 18484582396900 is 969328548481.

The square root of 18484582396900 is 4299370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1152947652516 + 17331634744384 = 1073754^2 + 4163128^2 .

It is a super-2 number, since 2×184845823969002 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18484582396901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42778732 + ... + 43208668.

Almost surely, 218484582396900 is an apocalyptic number.

18484582396900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18484582396900 is the 4299370-th square number.

It is an amenable number.

18484582396900 is an abundant number, since it is smaller than the sum of its proper divisors (21627054700919).

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

18484582396900 is an frugal number, since it uses more digits than its factorization.

18484582396900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859888 (or 429944 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 67.

The spelling of 18484582396900 in words is "eighteen trillion, four hundred eighty-four billion, five hundred eighty-two million, three hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 429937 859874 1719748 2149685 4299370 8598740 10748425 21496850 42993700 184845823969 369691647938 739383295876 924229119845 1848458239690 3696916479380 4621145599225 9242291198450 18484582396900