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83121558883088 = 241115115720999491
BaseRepresentation
bin10010111001100100111110…
…111111011000101100010000
3101220022100021100121101011012
4102321210332333120230100
541343330423033224323
6452441303400510052
723336222500620455
oct2271447677305420
9356270240541135
1083121558883088
1124537723018970
1293a5621a7b328
13374c4388171bb
141675167c6382c
159922b0e0e678
hex4b993efd8b10

83121558883088 has 160 divisors (see below), whose sum is σ = 178082252006400. Its totient is φ = 37271557440000.

The previous prime is 83121558883063. The next prime is 83121558883091. The reversal of 83121558883088 is 88038885512138.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8757930023 + ... + 8757939513.

It is an arithmetic number, because the mean of its divisors is an integer number (1113014075040).

Almost surely, 283121558883088 is an apocalyptic number.

83121558883088 is a gapful number since it is divisible by the number (88) 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 83121558883088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89041126003200).

83121558883088 is an abundant number, since it is smaller than the sum of its proper divisors (94960693123312).

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

83121558883088 is a wasteful number, since it uses less digits than its factorization.

83121558883088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 68.

The spelling of 83121558883088 in words is "eighty-three trillion, one hundred twenty-one billion, five hundred fifty-eight million, eight hundred eighty-three thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 151 157 176 302 314 604 628 1208 1256 1661 1727 2099 2416 2512 3322 3454 4198 6644 6908 8396 9491 13288 13816 16792 18982 23089 23707 26576 27632 33584 37964 46178 47414 75928 92356 94828 104401 151856 184712 189656 208802 260777 316949 329543 369424 379312 417604 521554 633898 659086 835208 1043108 1267796 1318172 1433141 1490087 1670416 2086216 2535592 2636344 2866282 2980174 3486439 3624973 4172432 5071184 5272688 5732564 5960348 6972878 7249946 11465128 11920696 13945756 14499892 15764551 16390957 19921609 22930256 23841392 27891512 28999784 31529102 32781914 39843218 49760993 55783024 57999568 63058204 65563828 79686436 99521986 126116408 131127656 159372872 199043972 219137699 225003137 252232816 262255312 318745744 398087944 438275398 450006274 547370923 796175888 876550796 900012548 1094741846 1753101592 1800025096 2189483692 2475034507 3008162959 3127692613 3506203184 3600050192 4378967384 4950069014 6016325918 6255385226 8757934768 9900138028 12032651836 12510770452 19800276056 24065303672 25021540904 33089792549 34404618743 39600552112 48130607344 50043081808 66179585098 68809237486 132359170196 137618474972 264718340392 275236949944 472281584563 529436680784 550473899888 944563169126 1889126338252 3778252676504 5195097430193 7556505353008 10390194860386 20780389720772 41560779441544 83121558883088