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982497116160 = 2143357233189
BaseRepresentation
bin11100100110000010110…
…01000100000000000000
310110220222220122210122000
432103001121010000000
5112044123230204120
62031204122544000
7130661123460120
oct16230131040000
93426886583560
10982497116160
1134974701023a
1213a4b8368000
1371859050841
14357a5a60c80
151a854d56990
hexe4c1644000

982497116160 has 1920 divisors, whose sum is σ = 4348521676800. Its totient is φ = 205541867520.

The previous prime is 982497116141. The next prime is 982497116179. The reversal of 982497116160 is 61611794289.

982497116160 is a `hidden beast` number, since 9 + 8 + 2 + 4 + 9 + 7 + 11 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (982497116141) and next prime (982497116179).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 982497116097 and 982497116106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11039293396 + ... + 11039293484.

It is an arithmetic number, because the mean of its divisors is an integer number (2264855040).

Almost surely, 2982497116160 is an apocalyptic number.

982497116160 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 982497116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174260838400).

982497116160 is an abundant number, since it is smaller than the sum of its proper divisors (3366024560640).

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

982497116160 is a wasteful number, since it uses less digits than its factorization.

982497116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 982497116160 in words is "nine hundred eighty-two billion, four hundred ninety-seven million, one hundred sixteen thousand, one hundred sixty".