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856366099056 = 2434133673
BaseRepresentation
bin11000111011000110110…
…01011010101001110000
310000212102121220020210000
430131203121122221300
5103012314210132211
61453224213310000
7115604356511226
oct14354331325160
93025377806700
10856366099056
11300201379236
12119b77335300
13629a78b7000
142d63c362b16
15174219d8656
hexc76365aa70

856366099056 has 400 divisors, whose sum is σ = 2725707661600. Its totient is φ = 259564466304.

The previous prime is 856366099051. The next prime is 856366099067. The reversal of 856366099056 is 650990663658.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

856366099056 is a `hidden beast` number, since 8 + 563 + 6 + 60 + 9 + 9 + 0 + 5 + 6 = 666.

856366099056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8563660990562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 856366098984 and 856366099002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856366099051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12781583535 + ... + 12781583601.

It is an arithmetic number, because the mean of its divisors is an integer number (6814269154).

Almost surely, 2856366099056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856366099056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362853830800).

856366099056 is an abundant number, since it is smaller than the sum of its proper divisors (1869341562544).

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

856366099056 is an frugal number, since it uses more digits than its factorization.

856366099056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 856366099056 in words is "eight hundred fifty-six billion, three hundred sixty-six million, ninety-nine thousand, fifty-six".