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99001663488 = 2153272131731
BaseRepresentation
bin101110000110011110…
…1011000000000000000
3100110112121002121000100
41130030331120000000
53110223411212423
6113251501122400
710103232153300
oct1341475300000
9313477077010
1099001663488
1138a93949102
121722b559400
139449a35790
144b12627600
152896786343
hex170cf58000

99001663488 has 1152 divisors, whose sum is σ = 391599411840. Its totient is φ = 23781703680.

The previous prime is 99001663477. The next prime is 99001663507. The reversal of 99001663488 is 88436610099.

99001663488 is a `hidden beast` number, since 9 + 90 + 0 + 16 + 63 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×990016634882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3193602033 + ... + 3193602063.

It is an arithmetic number, because the mean of its divisors is an integer number (339930045).

Almost surely, 299001663488 is an apocalyptic number.

99001663488 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 99001663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195799705920).

99001663488 is an abundant number, since it is smaller than the sum of its proper divisors (292597748352).

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

99001663488 is a wasteful number, since it uses less digits than its factorization.

99001663488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 99001663488 in words is "ninety-nine billion, one million, six hundred sixty-three thousand, four hundred eighty-eight".