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9988723989504 = 2103313531812897
BaseRepresentation
bin1001000101011010111001…
…0110000101110000000000
31022100220122100102120101000
42101112232112011300000
52302123401320131004
633124431221012000
72050442615005161
oct221265626056000
938326570376330
109988723989504
113201215317487
121153a6b554000
13575c17cb2370
14267657731768
15124c6a032c39
hex915ae585c00

9988723989504 has 704 divisors, whose sum is σ = 32648963518080. Its totient is φ = 2997768683520.

The previous prime is 9988723989437. The next prime is 9988723989521. The reversal of 9988723989504 is 4059893278899.

9988723989504 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 7 + 23 + 9 + 89 + 504 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3447952984 + ... + 3447955880.

Almost surely, 29988723989504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9988723989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324481759040).

9988723989504 is an abundant number, since it is smaller than the sum of its proper divisors (22660239528576).

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

9988723989504 is a wasteful number, since it uses less digits than its factorization.

9988723989504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 9988723989504 in words is "nine trillion, nine hundred eighty-eight billion, seven hundred twenty-three million, nine hundred eighty-nine thousand, five hundred four".