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998382228480 = 210325731343113
BaseRepresentation
bin11101000011101000011…
…01111101010000000000
310112102222222022010011100
432201310031331100000
5112324141322302410
62042352300014400
7132062561631000
oct16416415752000
93472888263140
10998382228480
1135545881623a
121415b0231400
13731bb07caa0
1436471648000
151ae847068c0
hexe87437d400

998382228480 has 2112 divisors, whose sum is σ = 4484954073600. Its totient is φ = 203928109056.

The previous prime is 998382228451. The next prime is 998382228587. The reversal of 998382228480 is 84822283899.

It is a super-2 number, since 2×9983822284802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 8835240904 + ... + 8835241016.

It is an arithmetic number, because the mean of its divisors is an integer number (2123557800).

Almost surely, 2998382228480 is an apocalyptic number.

998382228480 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 998382228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242477036800).

998382228480 is an abundant number, since it is smaller than the sum of its proper divisors (3486571845120).

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

998382228480 is a wasteful number, since it uses less digits than its factorization.

998382228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 998382228480 in words is "nine hundred ninety-eight billion, three hundred eighty-two million, two hundred twenty-eight thousand, four hundred eighty".