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855472980510720 = 211345112132311627
BaseRepresentation
bin1100001010000011000101001…
…1000111100100100000000000
311011011222102021220002001210000
43002200301103013210200000
51344112032131002320340
612231234510053440000
7345122611643143455
oct30240612307444000
94134872256061700
10855472980510720
11228642065400100
127bb4448a340000
132a9459a9988100
14111371827cd82c
1568d7c370dbd30
hex30a0c531e4800

855472980510720 has 4320 divisors, whose sum is σ = 3769620550375680. Its totient is φ = 185145340723200.

The previous prime is 855472980510649. The next prime is 855472980510763. The reversal of 855472980510720 is 27015089274558.

855472980510720 is a `hidden beast` number, since 8 + 5 + 5 + 4 + 7 + 2 + 98 + 0 + 510 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 525797774547 + ... + 525797776173.

It is an arithmetic number, because the mean of its divisors is an integer number (872597349624).

Almost surely, 2855472980510720 is an apocalyptic number.

855472980510720 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 855472980510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884810275187840).

855472980510720 is an abundant number, since it is smaller than the sum of its proper divisors (2914147569864960).

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

855472980510720 is a wasteful number, since it uses less digits than its factorization.

855472980510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 855472980510720 in words is "eight hundred fifty-five trillion, four hundred seventy-two billion, nine hundred eighty million, five hundred ten thousand, seven hundred twenty".