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11197693554304 = 27197656967601
BaseRepresentation
bin1010001011110010101010…
…0010111110111010000000
31110122111012111221210010011
42202330222202332322000
52431430334022214204
635452052134314304
72234002166522005
oct242745242767200
943574174853104
1011197693554304
113627a080a7344
12130a230ab8994
13632c2695225a
142a9d851cb8ac
151464273d7304
hexa2f2a8bee80

11197693554304 has 64 divisors (see below), whose sum is σ = 22424888118600. Its totient is φ = 5569495859200.

The previous prime is 11197693554277. The next prime is 11197693554353. The reversal of 11197693554304 is 40345539679111.

It can be written as a sum of positive squares in 4 ways, for example, as 8146914318400 + 3050779235904 = 2854280^2 + 1746648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×111976935543042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165610104 + ... + 165677704.

Almost surely, 211197693554304 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 11197693554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212444059300).

11197693554304 is an abundant number, since it is smaller than the sum of its proper divisors (11227194564296).

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

11197693554304 is an equidigital number, since it uses as much as digits as its factorization.

11197693554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74381 (or 74369 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 58.

The spelling of 11197693554304 in words is "eleven trillion, one hundred ninety-seven billion, six hundred ninety-three million, five hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 197 394 788 1576 3152 6304 6569 12608 13138 25216 26276 52552 67601 105104 135202 210208 270404 420416 540808 840832 1081616 1294093 2163232 2588186 4326464 5176372 8652928 10352744 13317397 20705488 26634794 41410976 53269588 82821952 106539176 165643904 213078352 426156704 444070969 852313408 888141938 1704626816 1776283876 3552567752 7105135504 14210271008 28420542016 56841084032 87481980893 174963961786 349927923572 699855847144 1399711694288 2799423388576 5598846777152 11197693554304