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980208552960 = 210345713191367
BaseRepresentation
bin11100100001110001111…
…10111000110000000000
310110201002102022202010000
432100320332320300000
5112024431342143320
62030145051040000
7130550324141160
oct16207076706000
93421072282100
10980208552960
113487821a089a
12139b79a40000
1371582b81230
1435629b2c5a0
151a76de93c90
hexe438fb8c00

980208552960 has 1760 divisors, whose sum is σ = 4553953367040. Its totient is φ = 195784998912.

The previous prime is 980208552959. The next prime is 980208552997. The reversal of 980208552960 is 69255802089.

980208552960 is a `hidden beast` number, since 9 + 8 + 0 + 20 + 8 + 552 + 9 + 60 = 666.

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 = 980208552897 and 980208552906.

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 159 ways as a sum of consecutive naturals, for example, 717050197 + ... + 717051563.

It is an arithmetic number, because the mean of its divisors is an integer number (2587473504).

Almost surely, 2980208552960 is an apocalyptic number.

980208552960 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 980208552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276976683520).

980208552960 is an abundant number, since it is smaller than the sum of its proper divisors (3573744814080).

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

980208552960 is a wasteful number, since it uses less digits than its factorization.

980208552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 980208552960 in words is "nine hundred eighty billion, two hundred eight million, five hundred fifty-two thousand, nine hundred sixty".