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8487044380080 = 2435571937791123
BaseRepresentation
bin111101110000000101101…
…0000111111010110110000
31010001100112201022102200000
41323200023100333112300
52103022431330130310
630014521103230000
71534111604641140
oct173401320772660
933040481272600
108487044380080
112782376328732
12b50a19ba8300
1349742b90b636
14214abcdaa920
15eab7a4b14c0
hex7b80b43f5b0

8487044380080 has 1920 divisors, whose sum is σ = 37014697574400. Its totient is φ = 1763919286272.

The previous prime is 8487044380007. The next prime is 8487044380093. The reversal of 8487044380080 is 800834407848.

It is a happy number.

8487044380080 is a `hidden beast` number, since 8 + 48 + 7 + 0 + 443 + 80 + 0 + 80 = 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 = 8487044379999 and 8487044380026.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7557474399 + ... + 7557475521.

It is an arithmetic number, because the mean of its divisors is an integer number (19278488320).

Almost surely, 28487044380080 is an apocalyptic number.

8487044380080 is a gapful number since it is divisible by the number (80) 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 8487044380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18507348787200).

8487044380080 is an abundant number, since it is smaller than the sum of its proper divisors (28527653194320).

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

8487044380080 is a wasteful number, since it uses less digits than its factorization.

8487044380080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 8487044380080 in words is "eight trillion, four hundred eighty-seven billion, forty-four million, three hundred eighty thousand, eighty".