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10471985856 = 2631017163
BaseRepresentation
bin10011100000010110…
…11101001011000000
31000000210220000000000
421300023131023000
5132421312021411
64451043000000
7520335261003
oct116013351300
930023800000
1010471985856
114494187a72
122043069000
13cab714447
14714b0553a
15414540956
hex2702dd2c0

10471985856 has 308 divisors, whose sum is σ = 33206371992. Its totient is φ = 3265173504.

The previous prime is 10471985851. The next prime is 10471985863. The reversal of 10471985856 is 65858917401.

It is a happy number.

10471985856 is a `hidden beast` number, since 1 + 0 + 47 + 19 + 8 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10471985851) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 64245231 + ... + 64245393.

Almost surely, 210471985856 is an apocalyptic number.

10471985856 is a gapful number since it is divisible by the number (16) 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 10471985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603185996).

10471985856 is an abundant number, since it is smaller than the sum of its proper divisors (22734386136).

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

10471985856 is an frugal number, since it uses more digits than its factorization.

10471985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10471985856 in words is "ten billion, four hundred seventy-one million, nine hundred eighty-five thousand, eight hundred fifty-six".