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163343509392 = 2437370114153
BaseRepresentation
bin1001100000100000001…
…0000010011110010000
3120121121200122000122010
42120020002002132100
510134011414300032
6203012230142520
714541542631000
oct2301002023620
9517550560563
10163343509392
1163301175268
12277a74b1a40
1312531b73c4b
147c979b8000
1543b0286ccc
hex2608082790

163343509392 has 160 divisors (see below), whose sum is σ = 492830956800. Its totient is φ = 46599705600.

The previous prime is 163343509349. The next prime is 163343509397. The reversal of 163343509392 is 293905343361.

It is a happy number.

163343509392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1633435093922 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (163343509397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11534188 + ... + 11548340.

It is an arithmetic number, because the mean of its divisors is an integer number (3080193480).

Almost surely, 2163343509392 is an apocalyptic number.

163343509392 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 163343509392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246415478400).

163343509392 is an abundant number, since it is smaller than the sum of its proper divisors (329487447408).

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

163343509392 is a wasteful number, since it uses less digits than its factorization.

163343509392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14886 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 48.

The spelling of 163343509392 in words is "one hundred sixty-three billion, three hundred forty-three million, five hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 701 784 1029 1176 1372 1402 2058 2103 2352 2744 2804 4116 4206 4907 5488 5608 8232 8412 9814 11216 14153 14721 16464 16824 19628 28306 29442 33648 34349 39256 42459 56612 58884 68698 78512 84918 99071 103047 113224 117768 137396 169836 198142 206094 226448 235536 240443 274792 297213 339672 396284 412188 480886 549584 594426 679344 693497 721329 792568 824376 961772 1188852 1386994 1442658 1585136 1648752 1923544 2080491 2377704 2773988 2885316 3847088 4160982 4755408 4854479 5547976 5770632 8321964 9708958 9921253 11095952 11541264 14563437 16643928 19417916 19842506 29126874 29763759 33287856 38835832 39685012 58253748 59527518 69448771 77671664 79370024 116507496 119055036 138897542 158740048 208346313 233014992 238110072 277795084 416692626 476220144 486141397 555590168 833385252 972282794 1111180336 1458424191 1666770504 1944565588 2916848382 3333541008 3402989779 3889131176 5833696764 6805979558 7778262352 10208969337 11667393528 13611959116 20417938674 23334787056 27223918232 40835877348 54447836464 81671754696 163343509392