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11327235147480 = 23357192732392141
BaseRepresentation
bin1010010011010101001111…
…0100111100011011011000
31111002212120111022112210110
42210311103310330123120
52441041134144204410
640031354320244320
72246236306064220
oct244652364743330
944085514275713
1011327235147480
113677942a3865a
12132b3641706a0
136421cc875735
142b235384b080
151499a9d9b720
hexa4d53d3c6d8

11327235147480 has 768 divisors, whose sum is σ = 41742637977600. Its totient is φ = 2407967170560.

The previous prime is 11327235147457. The next prime is 11327235147511. The reversal of 11327235147480 is 8474153272311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5290627210 + ... + 5290629350.

It is an arithmetic number, because the mean of its divisors is an integer number (54352393200).

Almost surely, 211327235147480 is an apocalyptic number.

11327235147480 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 11327235147480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871318988800).

11327235147480 is an abundant number, since it is smaller than the sum of its proper divisors (30415402830120).

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

11327235147480 is a wasteful number, since it uses less digits than its factorization.

11327235147480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 11327235147480 in words is "eleven trillion, three hundred twenty-seven billion, two hundred thirty-five million, one hundred forty-seven thousand, four hundred eighty".