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9998485585920 = 21533513372127
BaseRepresentation
bin1001000101111111010000…
…1011101000000000000000
31022101211211122121001021000
42101133310023220000000
52302303344302222140
633133124005532000
72051236536134016
oct221376413500000
938354748531230
109998485585920
1132053744a9337
121155934714000
13576b1248a510
14267d01d568b6
1512513beeca30
hex917f42e8000

9998485585920 has 1536 divisors, whose sum is σ = 39656706969600. Its totient is φ = 2375792197632.

The previous prime is 9998485585903. The next prime is 9998485585927. The reversal of 9998485585920 is 295855848999.

9998485585920 is a `hidden beast` number, since 9 + 9 + 9 + 8 + 4 + 8 + 5 + 585 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 9998485585920.

It is not an unprimeable number, because it can be changed into a prime (9998485585927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78728232897 + ... + 78728233023.

It is an arithmetic number, because the mean of its divisors is an integer number (25818168600).

Almost surely, 29998485585920 is an apocalyptic number.

9998485585920 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 9998485585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828353484800).

9998485585920 is an abundant number, since it is smaller than the sum of its proper divisors (29658221383680).

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

9998485585920 is a wasteful number, since it uses less digits than its factorization.

9998485585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3359232000, while the sum is 81.

The spelling of 9998485585920 in words is "nine trillion, nine hundred ninety-eight billion, four hundred eighty-five million, five hundred eighty-five thousand, nine hundred twenty".