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18152711824 = 2413225912
BaseRepresentation
bin10000111001111111…
…000110011010010000
31201212002112022021011
4100321333012122100
5244134043234244
612201135340304
71211561335042
oct207177063220
951762468234
1018152711824
117775807085
123627381694
131933a6b900
14c42c1da92
157139c1434
hex439fc6690

18152711824 has 45 divisors (see below), whose sum is σ = 38099147529. Its totient is φ = 8374941120.

The previous prime is 18152711813. The next prime is 18152711833. The reversal of 18152711824 is 42811725181.

It is a happy number.

The square root of 18152711824 is 134732.

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

It can be written as a sum of positive squares in only one way, i.e., 2685312400 + 15467399424 = 51820^2 + 124368^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 7004769 + ... + 7007359.

Almost surely, 218152711824 is an apocalyptic number.

18152711824 is the 134732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18152711824

18152711824 is an abundant number, since it is smaller than the sum of its proper divisors (19946435705).

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

18152711824 is an frugal number, since it uses more digits than its factorization.

18152711824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 2606 counting only the distinct ones).

The product of its digits is 35840, while the sum is 40.

The spelling of 18152711824 in words is "eighteen billion, one hundred fifty-two million, seven hundred eleven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2591 2704 5182 10364 20728 33683 41456 67366 134732 269464 437879 538928 875758 1751516 3503032 6713281 7006064 13426562 26853124 53706248 87272653 107412496 174545306 349090612 698181224 1134544489 1396362448 2269088978 4538177956 9076355912 18152711824