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32424506420 = 2253141253587
BaseRepresentation
bin11110001100101001…
…101011010000110100
310002200201102120221012
4132030221223100310
51012401133201140
622521241411352
72225336520455
oct361451532064
9102621376835
1032424506420
1112829874649
12634aa99b58
133099781397
1417d844712c
15c9b8e1265
hex78ca6b434

32424506420 has 144 divisors (see below), whose sum is σ = 73528487424. Its totient is φ = 11993779200.

The previous prime is 32424506371. The next prime is 32424506501. The reversal of 32424506420 is 2460542423.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 55237367 + ... + 55237953.

It is an arithmetic number, because the mean of its divisors is an integer number (510614496).

Almost surely, 232424506420 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 32424506420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36764243712).

32424506420 is an abundant number, since it is smaller than the sum of its proper divisors (41103981004).

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

32424506420 is a wasteful number, since it uses less digits than its factorization.

32424506420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 32424506420 in words is "thirty-two billion, four hundred twenty-four million, five hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 53 62 82 106 124 155 164 205 212 265 310 410 530 587 620 820 1060 1174 1271 1643 1681 2173 2348 2542 2935 3286 3362 4346 5084 5870 6355 6572 6724 8215 8405 8692 10865 11740 12710 16430 16810 18197 21730 24067 25420 31111 32860 33620 36394 43460 48134 52111 62222 67363 72788 89093 90985 96268 104222 120335 124444 134726 155555 178186 181970 208444 240670 260555 269452 311110 336815 356372 363940 445465 481340 521110 622220 673630 746077 890930 964441 986747 1042220 1275551 1347260 1492154 1781860 1928882 1973494 2551102 2761883 2984308 3730385 3857764 3946988 4822205 4933735 5102204 5523766 6377755 7460770 9644410 9867470 11047532 12755510 13809415 14921540 19288820 19734940 25511020 27618830 30589157 39542081 52297591 55237660 61178314 79084162 104595182 122356628 152945785 158168324 197710405 209190364 261487955 305891570 395420810 522975910 611783140 790841620 1045951820 1621225321 3242450642 6484901284 8106126605 16212253210 32424506420