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9999996480 = 263357331579
BaseRepresentation
bin10010101000000101…
…11101011001000000
3221210220202110022000
421110002331121000
5130434444341410
64332142344000
7502544365455
oct112402753100
927726673260
109999996480
114271812401
121b30b8b000
13c349b89a6
146ac16182c
153d7dabdc0
hex2540bd640

9999996480 has 224 divisors, whose sum is σ = 35348265600. Its totient is φ = 2661341184.

The previous prime is 9999996467. The next prime is 9999996497. The reversal of 9999996480 is 846999999.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9999996399 and 9999996408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332331 + ... + 6333909.

Almost surely, 29999996480 is an apocalyptic number.

9999996480 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 9999996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674132800).

9999996480 is an abundant number, since it is smaller than the sum of its proper divisors (25348269120).

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

9999996480 is a wasteful number, since it uses less digits than its factorization.

9999996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 102036672, while the sum is 72.

The square root of 9999996480 is about 99999.9823999985. The cubic root of 9999996480 is about 2154.4344372449.

The spelling of 9999996480 in words is "nine billion, nine hundred ninety-nine million, nine hundred ninety-six thousand, four hundred eighty".