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9997111410000 = 2435411132718599
BaseRepresentation
bin1001000101111010001001…
…0001100011110101010000
31022101201021212211200021120
42101132202101203311100
52302243041010110000
633132335400322240
72051160511625151
oct221364221436520
938351255750246
109997111410000
113204829848660
121155610473380
13576953881080
14267c11647928
151250ab5596a0
hex917a2463d50

9997111410000 has 800 divisors, whose sum is σ = 38058297446400. Its totient is φ = 2228601600000.

The previous prime is 9997111409993. The next prime is 9997111410017. The reversal of 9997111410000 is 141117999.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1162585701 + ... + 1162594299.

It is an arithmetic number, because the mean of its divisors is an integer number (47572871808).

Almost surely, 29997111410000 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 9997111410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19029148723200).

9997111410000 is an abundant number, since it is smaller than the sum of its proper divisors (28061186036400).

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

9997111410000 is a wasteful number, since it uses less digits than its factorization.

9997111410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8904 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 42.

Adding to 9997111410000 its reverse (141117999), we get a palindrome (9997252527999).

The spelling of 9997111410000 in words is "nine trillion, nine hundred ninety-seven billion, one hundred eleven million, four hundred ten thousand".