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11279361300480 = 211345713295153
BaseRepresentation
bin1010010000100010111001…
…0100101101100000000000
31110221022000002020010210000
42210020232110231200000
52434300112443103410
635553400025440000
72242623042102240
oct244105624554000
943838002203700
1011279361300480
113659606446849
121322023340000
1363a84044c810
142adcd1653b20
15148606ed7dc0
hexa422e52d800

11279361300480 has 1920 divisors, whose sum is σ = 51484229596800. Its totient is φ = 2297312575488.

The previous prime is 11279361300469. The next prime is 11279361300481. The reversal of 11279361300480 is 8400316397211.

11279361300480 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 36 + 130 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11279361300481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2188889584 + ... + 2188894736.

It is an arithmetic number, because the mean of its divisors is an integer number (26814702915).

Almost surely, 211279361300480 is an apocalyptic number.

11279361300480 is a gapful number since it is divisible by the number (10) 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 11279361300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25742114798400).

11279361300480 is an abundant number, since it is smaller than the sum of its proper divisors (40204868296320).

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

11279361300480 is a wasteful number, since it uses less digits than its factorization.

11279361300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 11279361300480 its reverse (8400316397211), we get a palindrome (19679677697691).

The spelling of 11279361300480 in words is "eleven trillion, two hundred seventy-nine billion, three hundred sixty-one million, three hundred thousand, four hundred eighty".