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998397982620000 = 253454233373
BaseRepresentation
bin1110001100000010011010010…
…1000110010011100101100000
311211221000220201000211021210000
43203000212211012103211200
52021330223032022320000
613455225411255140000
7420203605511156214
oct34300464506234540
94757026630737700
10998397982620000
1126a136230009756
1293b88274374600
1333b126ab1b0571
1413878a122c8944
157a65951a70000
hex38c09a5193960

998397982620000 has 2400 divisors, whose sum is σ = 3942468470001600. Its totient is φ = 247781026944000.

The previous prime is 998397982619987. The next prime is 998397982620053. The reversal of 998397982620000 is 26289793899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

998397982620000 is a `hidden beast` number, since 9 + 9 + 8 + 397 + 9 + 8 + 26 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×9983979826200003 (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 127650 × 76590 × 102120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 26983729259982 + ... + 26983729260018.

It is an arithmetic number, because the mean of its divisors is an integer number (1642695195834).

Almost surely, 2998397982620000 is an apocalyptic number.

998397982620000 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 998397982620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971234235000800).

998397982620000 is an abundant number, since it is smaller than the sum of its proper divisors (2944070487381600).

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

998397982620000 is an frugal number, since it uses more digits than its factorization.

998397982620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 998397982620000 in words is "nine hundred ninety-eight trillion, three hundred ninety-seven billion, nine hundred eighty-two million, six hundred twenty thousand".