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16432634364544 = 271014213019213
BaseRepresentation
bin1110111100100000010101…
…0101011000001010000000
32011011221111112122122212201
43233020011111120022000
54123213013344131134
654541014212002544
73314134666313446
oct357100525301200
964157445578781
1016432634364544
11526604a778982
121a14908000454
1392278ac04118
1440b4b5354b96
151d76b581a914
hexef205558280

16432634364544 has 64 divisors (see below), whose sum is σ = 33139557091080. Its totient is φ = 8115641856000.

The previous prime is 16432634364541. The next prime is 16432634364547. The reversal of 16432634364544 is 44546343623461.

It is an interprime number because it is at equal distance from previous prime (16432634364541) and next prime (16432634364547).

It can be written as a sum of positive squares in 4 ways, for example, as 11864497582144 + 4568136782400 = 3444488^2 + 2137320^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×164326343645443 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16432634364541) 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 7 ways as a sum of consecutive naturals, for example, 3933082 + ... + 6952294.

Almost surely, 216432634364544 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 16432634364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569778545540).

16432634364544 is an abundant number, since it is smaller than the sum of its proper divisors (16706922726536).

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

16432634364544 is a wasteful number, since it uses less digits than its factorization.

16432634364544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019749 (or 3019737 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 55.

The spelling of 16432634364544 in words is "sixteen trillion, four hundred thirty-two billion, six hundred thirty-four million, three hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 421 808 842 1616 1684 3232 3368 6464 6736 12928 13472 26944 42521 53888 85042 170084 340168 680336 1360672 2721344 3019213 5442688 6038426 12076852 24153704 48307408 96614816 193229632 304940513 386459264 609881026 1219762052 1271088673 2439524104 2542177346 4879048208 5084354692 9758096416 10168709384 19516192832 20337418768 39032385664 40674837536 81349675072 128379955973 162699350144 256759911946 513519823892 1027039647784 2054079295568 4108158591136 8216317182272 16432634364544