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16434808608 = 253237994219
BaseRepresentation
bin11110100111001011…
…10100011100100000
31120102100222210002010
433103211310130200
5232124302333413
611314450552520
71121161365621
oct172345643440
946370883063
1016434808608
116a74025a59
123227b98740
13171bb9442a
14b1c9d7a48
15662c82dc3
hex3d3974720

16434808608 has 96 divisors (see below), whose sum is σ = 45587404800. Its totient is φ = 5173698816.

The previous prime is 16434808601. The next prime is 16434808639. The reversal of 16434808608 is 80680843461.

16434808608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16434808601) 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 15 ways as a sum of consecutive naturals, for example, 127323 + ... + 221541.

It is an arithmetic number, because the mean of its divisors is an integer number (474868800).

Almost surely, 216434808608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434808608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22793702400).

16434808608 is an abundant number, since it is smaller than the sum of its proper divisors (29152596192).

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

16434808608 is a wasteful number, since it uses less digits than its factorization.

16434808608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94334 (or 94326 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 16434808608 in words is "sixteen billion, four hundred thirty-four million, eight hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 79 92 96 138 158 184 237 276 316 368 474 552 632 736 948 1104 1264 1817 1896 2208 2528 3634 3792 5451 7268 7584 10902 14536 21804 29072 43608 58144 87216 94219 174432 188438 282657 376876 565314 753752 1130628 1507504 2167037 2261256 3015008 4334074 4522512 6501111 7443301 8668148 9045024 13002222 14886602 17336296 22329903 26004444 29773204 34672592 44659806 52008888 59546408 69345184 89319612 104017776 119092816 171195923 178639224 208035552 238185632 342391846 357278448 513587769 684783692 714556896 1027175538 1369567384 2054351076 2739134768 4108702152 5478269536 8217404304 16434808608