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424945303549424 = 24789163492607557
BaseRepresentation
bin110000010011111000100100…
…1110111011111010111110000
32001201121101002211211011112222
41200213301021313133113300
5421144300440202040144
64103441102154540212
7155336166523401050
oct14047611167372760
92051541084734488
10424945303549424
11113445322609329
123b7b12b6437668
1315316229b68998
1476d1668cb5560
15341dc0889a2ee
hex1827c49ddf5f0

424945303549424 has 80 divisors (see below), whose sum is σ = 951581356056000. Its totient is φ = 180062046861312.

The previous prime is 424945303549423. The next prime is 424945303549451.

424945303549424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4249453035494242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424945303549423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161663054 + ... + 164270610.

It is an arithmetic number, because the mean of its divisors is an integer number (11894766950700).

Almost surely, 2424945303549424 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 424945303549424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475790678028000).

424945303549424 is an abundant number, since it is smaller than the sum of its proper divisors (526636052506576).

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

424945303549424 is a wasteful number, since it uses less digits than its factorization.

424945303549424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624010 (or 2624004 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 62.

The spelling of 424945303549424 in words is "four hundred twenty-four trillion, nine hundred forty-five billion, three hundred three million, five hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 356 623 712 1246 1424 2492 4984 9968 16349 32698 65396 114443 130792 228886 261584 457772 915544 1455061 1831088 2607557 2910122 5215114 5820244 10185427 10430228 11640488 18252899 20370854 20860456 23280976 36505798 40741708 41720912 73011596 81483416 146023192 162966832 232072573 292046384 464145146 928290292 1624508011 1856580584 3249016022 3713161168 6498032044 12996064088 25992128176 42630949393 85261898786 170523797572 298416645751 341047595144 596833291502 682095190288 1193666583004 2387333166008 3794154495977 4774666332016 7588308991954 15176617983908 26559081471839 30353235967816 53118162943678 60706471935632 106236325887356 212472651774712 424945303549424