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855645327360 = 2123451730341
BaseRepresentation
bin11000111001110000110…
…11111001000000000000
310000210120101122020220000
430130320123321000000
5103004330200433420
61453024504520000
7115550455165065
oct14347033710000
93023511566800
10855645327360
112aa97153184a
121199b5a80000
13628c1484195
142d5b073cc6c
15173cd5b1690
hexc7386f9000

855645327360 has 520 divisors, whose sum is σ = 3247807315896. Its totient is φ = 214743121920.

The previous prime is 855645327311. The next prime is 855645327367. The reversal of 855645327360 is 63723546558.

855645327360 is a `hidden beast` number, since 8 + 5 + 564 + 5 + 3 + 2 + 73 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67783163904 + 787862163456 = 260352^2 + 887616^2 .

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 = 855645327297 and 855645327306.

It is not an unprimeable number, because it can be changed into a prime (855645327367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28185790 + ... + 28216130.

Almost surely, 2855645327360 is an apocalyptic number.

855645327360 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 855645327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623903657948).

855645327360 is an abundant number, since it is smaller than the sum of its proper divisors (2392161988536).

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

855645327360 is a wasteful number, since it uses less digits than its factorization.

855645327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30399 (or 30368 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 855645327360 in words is "eight hundred fifty-five billion, six hundred forty-five million, three hundred twenty-seven thousand, three hundred sixty".