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9990131703552 = 28327211133531753
BaseRepresentation
bin1001000101100000001001…
…0000000101111100000000
31022101001021110021212000100
42101120002100011330000
52302134242204003202
633125223025122400
72050522530246600
oct221300220057400
938331243255010
109990131703552
1132018779a4920
1211541a2a89400
135760b0832060
1426774c690c00
15124ced8ed41c
hex91602405f00

9990131703552 has 1296 divisors, whose sum is σ = 39498558005088. Its totient is φ = 2387088506880.

The previous prime is 9990131703533. The next prime is 9990131703577. The reversal of 9990131703552 is 2553071310999.

9990131703552 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 13 + 1 + 70 + 3 + 552 = 666.

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 143 ways as a sum of consecutive naturals, for example, 5698876308 + ... + 5698878060.

Almost surely, 29990131703552 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 9990131703552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749279002544).

9990131703552 is an abundant number, since it is smaller than the sum of its proper divisors (29508426301536).

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

9990131703552 is a wasteful number, since it uses less digits than its factorization.

9990131703552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The spelling of 9990131703552 in words is "nine trillion, nine hundred ninety billion, one hundred thirty-one million, seven hundred three thousand, five hundred fifty-two".