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32444665666413 = 371113371132584091
BaseRepresentation
bin1110110000010000111001…
…10001011001101101101101
311020212200100112102221001020
413120020130301121231231
513223033133402311123
6153000512412404353
76556023026606130
oct730103461315555
9136780315387036
1032444665666413
11a379783a35530
12377bbb0a766b9
131514698b93660
1480248a0bc217
153b3e60a9b7e3
hex1d821cc59b6d

32444665666413 has 128 divisors (see below), whose sum is σ = 60180484460544. Its totient is φ = 15003433267200.

The previous prime is 32444665666409. The next prime is 32444665666423. The reversal of 32444665666413 is 31466656644423.

It is not a de Polignac number, because 32444665666413 - 22 = 32444665666409 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32444665666423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11263498 + ... + 13847588.

It is an arithmetic number, because the mean of its divisors is an integer number (470160034848).

Almost surely, 232444665666413 is an apocalyptic number.

32444665666413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32444665666413 is a deficient number, since it is larger than the sum of its proper divisors (27735818794131).

32444665666413 is a wasteful number, since it uses less digits than its factorization.

32444665666413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584275.

The product of its digits is 179159040, while the sum is 60.

The spelling of 32444665666413 in words is "thirty-two trillion, four hundred forty-four billion, six hundred sixty-five million, six hundred sixty-six thousand, four hundred thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 113 143 231 259 273 339 407 429 481 777 791 1001 1221 1243 1443 1469 2373 2849 3003 3367 3729 4181 4407 5291 8547 8701 10101 10283 12543 15873 16159 26103 29267 30849 37037 45991 48477 54353 87801 111111 113113 137973 163059 321937 339339 380471 597883 965811 1141413 1793649 2584091 4185181 7752273 12555543 18088637 28425001 33593183 54265911 85275003 95611367 100779549 198975007 235152281 286834101 292002283 369525013 596925021 669279569 705456843 876006849 1051725037 1108575039 1242947771 2007838707 2044015981 2586675091 3155175111 3212025113 3728843313 3796029679 6132047943 7362075259 7760025273 8700634397 9636075339 10804084471 11388089037 13672425481 22086225777 22484175791 26101903191 26572207753 32412253413 41017276443 41756326469 67452527373 75628591297 79716623259 95706978367 118844929181 125268979407 140453098123 226885773891 287120935101 292294285283 356534787543 421359294369 831914504267 876882855849 983171686861 1544984079353 2495743512801 2949515060583 4634952238059 10814888555471 32444665666413