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831339391581690 = 235431915935689847
BaseRepresentation
bin1011110100000110010100100…
…1000111110111110111111010
311001000112021021120210010110220
42331001211021013313313322
51332431131033221103230
612104040013311120510
7340052201055006225
oct27501451107676772
94030467246703426
10831339391581690
11220988068635922
12792a7188213136
13298b4c782cc1a4
141094108125a5bc
15661a0a3310d10
hex2f419491f7dfa

831339391581690 has 128 divisors (see below), whose sum is σ = 2055765205942272. Its totient is φ = 215037943034880.

The previous prime is 831339391581689. The next prime is 831339391581709. The reversal of 831339391581690 is 96185193933138.

It is a super-2 number, since 2×8313393915816902 (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143264347 + ... + 148954193.

It is an arithmetic number, because the mean of its divisors is an integer number (16060665671424).

Almost surely, 2831339391581690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831339391581690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027882602971136).

831339391581690 is an abundant number, since it is smaller than the sum of its proper divisors (1224425814360582).

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

831339391581690 is a wasteful number, since it uses less digits than its factorization.

831339391581690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690684.

The product of its (nonzero) digits is 113374080, while the sum is 69.

The spelling of 831339391581690 in words is "eight hundred thirty-one trillion, three hundred thirty-nine billion, three hundred ninety-one million, five hundred eighty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 191 215 258 382 430 573 593 645 955 1146 1186 1290 1779 1910 2865 2965 3558 5730 5930 8213 8895 16426 17790 24639 25499 41065 49278 50998 76497 82130 113263 123195 127495 152994 226526 246390 254990 339789 382485 566315 679578 764970 1132630 1698945 3397890 4870309 5689847 9740618 11379694 14610927 17069541 24351545 28449235 29221854 34139082 48703090 56898470 73054635 85347705 146109270 170695410 244663421 489326842 733990263 1086760777 1223317105 1467980526 2173521554 2446634210 3260282331 3374079271 3669951315 5433803885 6520564662 6748158542 7339902630 10122237813 10867607770 16301411655 16870396355 20244475626 32602823310 33740792710 46730713411 50611189065 93461426822 101222378130 140192140233 145085408653 233653567055 280384280466 290170817306 435256225959 467307134110 644449140761 700960701165 725427043265 870512451918 1288898281522 1401921402330 1450854086530 1933347422283 2176281129795 3222245703805 3866694844566 4352562259590 6444491407610 9666737111415 19333474222830 27711313052723 55422626105446 83133939158169 138556565263615 166267878316338 277113130527230 415669695790845 831339391581690