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16443412720152 = 23311312143937571
BaseRepresentation
bin1110111101001000011111…
…0001100010101000011000
32011012222022201000212011120
43233102013301202220120
54123402102124021102
654545555521325240
73314666044653645
oct357220761425030
964188281025146
1016443412720152
11526a68088aa90
121a16a15796820
139237b7c36732
1440bc18a0adcc
151d7ae6bc76bc
hexef487c62a18

16443412720152 has 128 divisors (see below), whose sum is σ = 46313956638720. Its totient is φ = 4819859856000.

The previous prime is 16443412720013. The next prime is 16443412720171. The reversal of 16443412720152 is 25102721434461.

It is a super-3 number, since 3×164434127201523 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17069527 + ... + 18007097.

It is an arithmetic number, because the mean of its divisors is an integer number (361827786240).

Almost surely, 216443412720152 is an apocalyptic number.

16443412720152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16443412720152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23156978319360).

16443412720152 is an abundant number, since it is smaller than the sum of its proper divisors (29870543918568).

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

16443412720152 is a wasteful number, since it uses less digits than its factorization.

16443412720152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939765 (or 939761 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 16443412720152 in words is "sixteen trillion, four hundred forty-three billion, four hundred twelve million, seven hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2143 2728 4092 4286 6429 8184 8572 12858 17144 23573 25716 47146 51432 66433 70719 94292 132866 141438 188584 199299 265732 282876 398598 531464 565752 730763 797196 937571 1461526 1594392 1875142 2192289 2812713 2923052 3750284 4384578 5625426 5846104 7500568 8769156 10313281 11250852 17538312 20626562 22501704 29064701 30939843 41253124 58129402 61879686 82506248 87194103 116258804 123759372 174388206 232517608 247518744 319711711 348776412 639423422 697552824 959135133 1278846844 1918270266 2009214653 2557693688 3836540532 4018429306 6027643959 7673081064 8036858612 12055287918 16073717224 22101361183 24110575836 44202722366 48221151672 62285654243 66304083549 88405444732 124571308486 132608167098 176810889464 186856962729 249142616972 265216334196 373713925458 498285233944 530432668392 685142196673 747427850916 1370284393346 1494855701832 2055426590019 2740568786692 4110853180038 5481137573384 8221706360076 16443412720152