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9427315680000 = 2833542182249
BaseRepresentation
bin1000100100101111011111…
…0011010110001100000000
31020101020112211122111221000
42021023313303112030000
52213424120303230000
632014503220332000
71662046446056301
oct211136763261400
936336484574830
109427315680000
113005113a28179
1210830b0b44000
13534cb870969a
142483da9c27a8
1511535d215000
hex892f7cd6300

9427315680000 has 360 divisors, whose sum is σ = 34836653390000. Its totient is φ = 2513949696000.

The previous prime is 9427315679983. The next prime is 9427315680067. The reversal of 9427315680000 is 865137249.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3228876 + ... + 5411124.

It is a 1-persistent number, because it is pandigital, but 2⋅9427315680000 = 18854631360000 is not.

Almost surely, 29427315680000 is an apocalyptic number.

9427315680000 is a gapful number since it is divisible by the number (90) 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 9427315680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418326695000).

9427315680000 is an abundant number, since it is smaller than the sum of its proper divisors (25409337710000).

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

9427315680000 is an equidigital number, since it uses as much as digits as its factorization.

9427315680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182294 (or 2182259 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 9427315680000 in words is "nine trillion, four hundred twenty-seven billion, three hundred fifteen million, six hundred eighty thousand".