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16442023643472 = 243726990656311
BaseRepresentation
bin1110111101000011010011…
…1110101000100101010000
32011012211201220020110012010
43233100310332220211100
54123341231023042342
654545210020502520
73314616450004500
oct357206476504520
964184656213163
1016442023643472
11526a028782129
121a166a854aa40
13923626210b7b
1440bb2633da00
151d7a64c8e29c
hexef434fa8950

16442023643472 has 60 divisors (see below), whose sum is σ = 49409958813216. Its totient is φ = 4697721040320.

The previous prime is 16442023643447. The next prime is 16442023643473. The reversal of 16442023643472 is 27434632024461.

16442023643472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164420236434723 (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442023643473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3495325804 + ... + 3495330507.

Almost surely, 216442023643472 is an apocalyptic number.

16442023643472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16442023643472 is an abundant number, since it is smaller than the sum of its proper divisors (32967935169744).

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

16442023643472 is a wasteful number, since it uses less digits than its factorization.

16442023643472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6990656336 (or 6990656323 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 16442023643472 in words is "sixteen trillion, four hundred forty-two billion, twenty-three million, six hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 6990656311 13981312622 20971968933 27962625244 41943937866 48934594177 55925250488 83887875732 97869188354 111850500976 146803782531 167775751464 195738376708 293607565062 335551502928 342542159239 391476753416 587215130124 685084318478 782953506832 1027626477717 1174430260248 1370168636956 2055252955434 2348860520496 2740337273912 4110505910868 5480674547824 8221011821736 16442023643472