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9909999999648 = 253472144753923
BaseRepresentation
bin1001000000110101101000…
…0001111001101010100000
31022002101102221100112020000
42100031122001321222200
52244331134444442043
633024331404420000
72041655016066600
oct220153201715240
938071387315200
109909999999648
113180897712741
12114075ab47600
1356b680336048
1426390a230c00
15122badab62d3
hex9035a079aa0

9909999999648 has 360 divisors, whose sum is σ = 33927467045472. Its totient is φ = 2829419341056.

The previous prime is 9909999999611. The next prime is 9909999999703. The reversal of 9909999999648 is 8469999999099.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 183753615 + ... + 183807537.

Almost surely, 29909999999648 is an apocalyptic number.

9909999999648 is a gapful number since it is divisible by the number (98) 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 9909999999648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963733522736).

9909999999648 is an abundant number, since it is smaller than the sum of its proper divisors (24017467045824).

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

9909999999648 is a wasteful number, since it uses less digits than its factorization.

9909999999648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55406 (or 55382 counting only the distinct ones).

The product of its (nonzero) digits is 74384733888, while the sum is 99.

The spelling of 9909999999648 in words is "nine trillion, nine hundred nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, six hundred forty-eight".