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989385336576 = 283271322912517
BaseRepresentation
bin11100110010110111111…
…01100010011100000000
310111120202222001122122200
432121123331202130000
5112202230121232301
62034303425233200
7131323614413310
oct16313375423400
93446688048580
10989385336576
1135166125818a
1213b8bb192800
13723b614a400
1435c5a801440
151ab09940c86
hexe65bf62700

989385336576 has 648 divisors, whose sum is σ = 3652258690080. Its totient is φ = 251918843904.

The previous prime is 989385336509. The next prime is 989385336581. The reversal of 989385336576 is 675633583989.

989385336576 is a `hidden beast` number, since 9 + 8 + 9 + 38 + 533 + 6 + 57 + 6 = 666.

989385336576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79037070 + ... + 79049586.

Almost surely, 2989385336576 is an apocalyptic number.

989385336576 is a gapful number since it is divisible by the number (96) 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 989385336576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826129345040).

989385336576 is an abundant number, since it is smaller than the sum of its proper divisors (2662873353504).

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

989385336576 is a wasteful number, since it uses less digits than its factorization.

989385336576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12601 (or 12571 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 989385336576 in words is "nine hundred eighty-nine billion, three hundred eighty-five million, three hundred thirty-six thousand, five hundred seventy-six".