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453982538741956 = 2274192114432
BaseRepresentation
bin110011100111001010000101…
…1111101001011100011000100
32012112102022021200200021012221
41213032110023331023203010
5434001022214404220311
64245312411003022124
7164424104344210000
oct14716241375134304
92175368250607187
10453982538741956
1112171aa05901784
1242b00a3580a944
13166414a6336cb3
148016c2d123700
1537741dad0c671
hex19ce50bf4b8c4

453982538741956 has 135 divisors (see below), whose sum is σ = 978259051346031. Its totient is φ = 184307629543632.

The previous prime is 453982538741917. The next prime is 453982538741971. The reversal of 453982538741956 is 659147835289354.

The square root of 453982538741956 is 21306866.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×4539825387419562 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39673378771 + ... + 39673390213.

Almost surely, 2453982538741956 is an apocalyptic number.

453982538741956 is the 21306866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453982538741956

453982538741956 is an abundant number, since it is smaller than the sum of its proper divisors (524276512604075).

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

453982538741956 is an frugal number, since it uses more digits than its factorization.

453982538741956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22956 (or 11471 counting only the distinct ones).

The product of its digits is 7838208000, while the sum is 79.

The spelling of 453982538741956 in words is "four hundred fifty-three trillion, nine hundred eighty-two billion, five hundred thirty-eight million, seven hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 361 532 686 722 931 1372 1444 1862 2401 2527 3724 4802 5054 6517 9604 10108 11443 13034 17689 22886 26068 35378 45619 45772 70756 80101 91238 123823 160202 182476 217417 247646 320404 434834 495292 560707 866761 869668 1121414 1521919 1733522 2242828 3043838 3467044 3924949 4130923 6087676 7849898 8261846 10653433 15699796 16523692 21306866 27474643 28916461 42613732 54949286 57832922 74574031 109898572 115665844 130942249 149148062 202415227 261884498 298296124 404830454 522018217 523768996 809660908 916595743 1044036434 1416906589 1833191486 2088072868 2487902731 2833813178 3666382972 4975805462 5667626356 6416170201 9918346123 9951610924 12832340402 17415319117 19836692246 25664680804 34830638234 39673384492 44913191407 47270151889 69661276468 89826382814 94540303778 121907233819 179652765628 189080607556 243814467638 314392339849 330891063223 487628935276 628784679698 661782126446 853350636733 1257569359396 1323564252892 1706701273466 2316237442561 3413402546932 4632474885122 5973454457131 9264949770244 11946908914262 16213662097927 23893817828524 32427324195854 64854648391708 113495634685489 226991269370978 453982538741956