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988489656000000 = 29345671121801
BaseRepresentation
bin1110000011000001101010111…
…0110011110101111000000000
311210121221200120201020020220000
43200300122232303311320000
52014030403303414000000
613422201513504520000
7415132010111420220
oct34060325663657000
94717850521206800
10988489656000000
11266a66121a37a00
1292a47b01920000
13335742367631bb
1413615224410080
157942d3ed50000
hex38306aecf5e00

988489656000000 has 4200 divisors, whose sum is σ = 4635343241534544. Its totient is φ = 205286400000000.

The previous prime is 988489655999869. The next prime is 988489656000053. The reversal of 988489656000000 is 656984889.

988489656000000 is a `hidden beast` number, since 98 + 8 + 489 + 6 + 5 + 60 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

It is a super-2 number, since 2×9884896560000002 (a number of 31 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 988489655999892 and 988489655999901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 548855999100 + ... + 548856000900.

Almost surely, 2988489656000000 is an apocalyptic number.

988489656000000 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 988489656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317671620767272).

988489656000000 is an abundant number, since it is smaller than the sum of its proper divisors (3646853585534544).

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

988489656000000 is an frugal number, since it uses more digits than its factorization.

988489656000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 988489656000000 in words is "nine hundred eighty-eight trillion, four hundred eighty-nine billion, six hundred fifty-six million", and thus it is an aban number.