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11476000020240 = 24325717315218293
BaseRepresentation
bin1010011011111111011011…
…1001111001011100010000
31111122002120011200002121200
42212333312321321130100
53001010322001121430
640224000203551200
72263053656455350
oct246776671713420
944562504602550
1011476000020240
113724a42918398
12135416122b500
1365324a281a72
142b9627166b60
1514d7b5302460
hexa6ff6e79710

11476000020240 has 960 divisors, whose sum is σ = 48239555899392. Its totient is φ = 2384275046400.

The previous prime is 11476000020187. The next prime is 11476000020263. The reversal of 11476000020240 is 4202000067411.

11476000020240 is a `hidden beast` number, since 1 + 14 + 7 + 600 + 0 + 0 + 2 + 0 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1383813534 + ... + 1383821826.

Almost surely, 211476000020240 is an apocalyptic number.

11476000020240 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 11476000020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24119777949696).

11476000020240 is an abundant number, since it is smaller than the sum of its proper divisors (36763555879152).

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

11476000020240 is a wasteful number, since it uses less digits than its factorization.

11476000020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 11476000020240 its reverse (4202000067411), we get a palindrome (15678000087651).

The spelling of 11476000020240 in words is "eleven trillion, four hundred seventy-six billion, twenty thousand, two hundred forty".