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11321169483792 = 2437371955946559
BaseRepresentation
bin1010010010111110101001…
…0010010001100000010000
31111002021220202200220110210
42210233222102101200100
52440441223341440132
640024512400124120
72245633063562430
oct244575222214020
944067822626423
1011321169483792
113675310038763
12132a150906640
13641773cc8b1c
142b1d3a0282c0
151497525e2bcc
hexa4bea491810

11321169483792 has 160 divisors (see below), whose sum is σ = 34330259865600. Its totient is φ = 3146969193984.

The previous prime is 11321169483787. The next prime is 11321169483857. The reversal of 11321169483792 is 29738496112311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243134209 + ... + 243180767.

It is an arithmetic number, because the mean of its divisors is an integer number (214564124160).

Almost surely, 211321169483792 is an apocalyptic number.

11321169483792 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 11321169483792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17165129932800).

11321169483792 is an abundant number, since it is smaller than the sum of its proper divisors (23009090381808).

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

11321169483792 is a wasteful number, since it uses less digits than its factorization.

11321169483792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66173 (or 66167 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The spelling of 11321169483792 in words is "eleven trillion, three hundred twenty-one billion, one hundred sixty-nine million, four hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 19559 39118 46559 58677 78236 93118 117354 136913 139677 156472 186236 234708 273826 279354 312944 325913 372472 410739 469416 547652 558708 651826 723683 744944 821478 938832 977739 1095304 1117416 1303652 1447366 1642956 1722683 1955478 2171049 2190608 2234832 2607304 2894732 3285912 3445366 3910956 4342098 5065781 5168049 5214608 5789464 6571824 6890732 7821912 8684196 10131562 10336098 11578928 12058781 13781464 15197343 15643824 17368392 20263124 20672196 24117562 27562928 30394686 34736784 36176343 40526248 41344392 48235124 60789372 72352686 81052496 82688784 96470248 121578744 144705372 192940496 243157488 289410744 578821488 910647481 1821294962 2731942443 3642589924 5463884886 6374532367 7285179848 10927769772 12749064734 14570359696 19123597101 21855539544 25498129468 33693956797 38247194202 43711079088 50996258936 67387913594 76494388404 101081870391 101992517872 134775827188 152988776808 202163740782 235857697579 269551654376 305977553616 404327481564 471715395158 539103308752 707573092737 808654963128 943430790316 1415146185474 1617309926256 1886861580632 2830292370948 3773723161264 5660584741896 11321169483792