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16464299920 = 245297096681
BaseRepresentation
bin11110101010101100…
…10100011110010000
31120111102111002112221
433111112110132100
5232204330044140
611321423030424
71122000145255
oct172526243620
946442432487
1016464299920
116a89739242
123235a3b414
13172501ba03
14b228b342c
1566565b14a
hex3d5594790

16464299920 has 40 divisors (see below), whose sum is σ = 39599485560. Its totient is φ = 6358625280.

The previous prime is 16464299879. The next prime is 16464299933. The reversal of 16464299920 is 2999246461.

It is a happy number.

16464299920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2757510144 + 13706789776 = 52512^2 + 117076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 3546021 + ... + 3550660.

It is an arithmetic number, because the mean of its divisors is an integer number (989987139).

Almost surely, 216464299920 is an apocalyptic number.

16464299920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16464299920 is an abundant number, since it is smaller than the sum of its proper divisors (23135185640).

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

16464299920 is a wasteful number, since it uses less digits than its factorization.

16464299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096723 (or 7096717 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 16464299920 in words is "sixteen billion, four hundred sixty-four million, two hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 7096681 14193362 28386724 35483405 56773448 70966810 113546896 141933620 205803749 283867240 411607498 567734480 823214996 1029018745 1646429992 2058037490 3292859984 4116074980 8232149960 16464299920