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9903417632640 = 273257245620477
BaseRepresentation
bin1001000000011101000110…
…1100001010011110000000
31022001202110012110122012100
42100013101230022132000
52244224144403221030
633021322305430400
72041332630642330
oct220072154123600
938052405418170
109903417632640
11317901a087a04
12113b42263b400
1356ab7170661c
14263483d490c0
15122925c95360
hex901d1b0a780

9903417632640 has 192 divisors, whose sum is σ = 39083130459360. Its totient is φ = 2263638306816.

The previous prime is 9903417632561. The next prime is 9903417632729. The reversal of 9903417632640 is 462367143099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122769919 + ... + 122850558.

Almost surely, 29903417632640 is an apocalyptic number.

9903417632640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9903417632640 is an abundant number, since it is smaller than the sum of its proper divisors (29179712826720).

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

9903417632640 is a wasteful number, since it uses less digits than its factorization.

9903417632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245620509 (or 245620494 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 9903417632640 in words is "nine trillion, nine hundred three billion, four hundred seventeen million, six hundred thirty-two thousand, six hundred forty".