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998316204480 = 26335737446123
BaseRepresentation
bin11101000011100000100…
…10000110000111000000
310112102211101001202021000
432201300102012013000
5112324022422020410
62042341540532000
7132061130504130
oct16416022060700
93472741052230
10998316204480
11355424520451
121415920b1000
13731aa4a3c2a
143646697cac0
151ae7da13dc0
hexe8704861c0

998316204480 has 448 divisors, whose sum is σ = 4133749294080. Its totient is φ = 222018859008.

The previous prime is 998316204427. The next prime is 998316204481. The reversal of 998316204480 is 84402613899.

998316204480 is a `hidden beast` number, since 9 + 9 + 8 + 3 + 1 + 620 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998316204481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2014699 + ... + 2460821.

It is an arithmetic number, because the mean of its divisors is an integer number (9227118960).

Almost surely, 2998316204480 is an apocalyptic number.

998316204480 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 998316204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066874647040).

998316204480 is an abundant number, since it is smaller than the sum of its proper divisors (3135433089600).

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

998316204480 is a wasteful number, since it uses less digits than its factorization.

998316204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446193 (or 446177 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 998316204480 in words is "nine hundred ninety-eight billion, three hundred sixteen million, two hundred four thousand, four hundred eighty".