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11196519054400 = 2652836532
BaseRepresentation
bin1010001011101110010010…
…0010100111110001000000
31110122101011122221000010201
42202323210202213301000
52431420432334220100
635451335420534544
72233631115451021
oct242734442476100
943571148830121
1011196519054400
113627465128169
121309b636b1454
13632a9a5187b4
142a9cb3218c48
151463a923736a
hexa2ee48a7c40

11196519054400 has 63 divisors (see below), whose sum is σ = 27550764044031. Its totient is φ = 4478554083840.

The previous prime is 11196519054377. The next prime is 11196519054407. The reversal of 11196519054400 is 445091569111.

The square root of 11196519054400 is 3346120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6901213064256 + 4295305990144 = 2627016^2 + 2072512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11196519054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133802974 + ... + 133886626.

Almost surely, 211196519054400 is an apocalyptic number.

11196519054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11196519054400 is the 3346120-th square number.

It is an amenable number.

11196519054400 is an abundant number, since it is smaller than the sum of its proper divisors (16354244989631).

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

11196519054400 is an frugal number, since it uses more digits than its factorization.

11196519054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167328 (or 83660 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 46.

The spelling of 11196519054400 in words is "eleven trillion, one hundred ninety-six billion, five hundred nineteen million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 83653 167306 334612 418265 669224 836530 1338448 1673060 2091325 2676896 3346120 4182650 5353792 6692240 8365300 13384480 16730600 26768960 33461200 66922400 133844800 6997824409 13995648818 27991297636 34989122045 55982595272 69978244090 111965190544 139956488180 174945610225 223930381088 279912976360 349891220450 447860762176 559825952720 699782440900 1119651905440 1399564881800 2239303810880 2799129763600 5598259527200 11196519054400