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16408072836 = 22323725772
BaseRepresentation
bin11110100011111111…
…10101001010000100
31120100111200110111100
433101333311022010
5232100431312321
611312053540100
71120415214021
oct172177651204
946314613440
1016408072836
116a5aa24a81
12321b044630
13171649314c
14b19238548
15660751326
hex3d1ff5284

16408072836 has 81 divisors (see below), whose sum is σ = 42701235759. Its totient is φ = 5312314368.

The previous prime is 16408072823. The next prime is 16408072843. The reversal of 16408072836 is 63827080461.

The square root of 16408072836 is 128094.

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 13757882436 + 2650190400 = 117294^2 + 51480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16408072791 and 16408072800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28436580 + ... + 28437156.

Almost surely, 216408072836 is an apocalyptic number.

16408072836 is the 128094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16408072836

16408072836 is an abundant number, since it is smaller than the sum of its proper divisors (26293162923).

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

16408072836 is an equidigital number, since it uses as much as digits as its factorization.

16408072836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16408072836 in words is "sixteen billion, four hundred eight million, seventy-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 577 666 1154 1332 1369 1731 2308 2738 3462 4107 5193 5476 6924 8214 10386 12321 16428 20772 21349 24642 42698 49284 64047 85396 128094 192141 256188 332929 384282 665858 768564 789913 998787 1331716 1579826 1997574 2369739 2996361 3159652 3995148 4739478 5992722 7109217 9478956 11985444 12318373 14218434 24636746 28436868 36955119 49273492 73910238 110865357 147820476 221730714 443461428 455779801 911559602 1367339403 1823119204 2734678806 4102018209 5469357612 8204036418 16408072836