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16442025506232 = 23323375315189331
BaseRepresentation
bin1110111101000011010100…
…0101101111010110111000
32011012211202000202002102020
43233100311011233112320
54123341232012144412
654545210124434440
73314616501563334
oct357206505572670
964184660662366
1016442025506232
11526a0298346a7
121a166a90a8a20
139236267139b1
1440bb266a67c4
151d7a6500b18c
hexef43516f5b8

16442025506232 has 128 divisors (see below), whose sum is σ = 44882653340160. Its totient is φ = 5004458933760.

The previous prime is 16442025506197. The next prime is 16442025506237. The reversal of 16442025506232 is 23260552024461.

It is a super-3 number, since 3×164420255062323 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442025506237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6512194 + ... + 8677137.

It is an arithmetic number, because the mean of its divisors is an integer number (350645729220).

Almost surely, 216442025506232 is an apocalyptic number.

16442025506232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16442025506232 is an abundant number, since it is smaller than the sum of its proper divisors (28440627833928).

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

16442025506232 is a wasteful number, since it uses less digits than its factorization.

16442025506232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15189453 (or 15189449 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 16442025506232 in words is "sixteen trillion, four hundred forty-two billion, twenty-five million, five hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 53 69 74 92 106 111 138 148 159 184 212 222 276 296 318 424 444 552 636 851 888 1219 1272 1702 1961 2438 2553 3404 3657 3922 4876 5106 5883 6808 7314 7844 9752 10212 11766 14628 15688 20424 23532 29256 45103 47064 90206 135309 180412 270618 360824 541236 1082472 15189331 30378662 45567993 60757324 91135986 121514648 182271972 349354613 364543944 562005247 698709226 805034543 1048063839 1124010494 1397418452 1610069086 1686015741 2096127678 2248020988 2415103629 2794836904 3220138172 3372031482 4192255356 4496041976 4830207258 6440276344 6744062964 8384510712 9660414516 12926120681 13488125928 18515794489 19320829032 25852241362 29786278091 37031588978 38778362043 51704482724 55547383467 59572556182 74063177956 77556724086 89358834273 103408965448 111094766934 119145112364 148126355912 155113448172 178717668546 222189533868 238290224728 310226896344 357435337092 444379067736 685084396093 714870674184 1370168792186 2055253188279 2740337584372 4110506376558 5480675168744 8221012753116 16442025506232