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10063016856 = 233717231471
BaseRepresentation
bin10010101111100110…
…10111001110011000
3221222022100020000000
421113303113032120
5131102113014411
64342313213000
7504241142364
oct112763271630
927868306000
1010063016856
1142a4346562
121b4a101160
13c44a82659
146b66882a4
153dd6a9956
hex257cd7398

10063016856 has 256 divisors, whose sum is σ = 31286476800. Its totient is φ = 3017710080.

The previous prime is 10063016837. The next prime is 10063016867. The reversal of 10063016856 is 65861036001.

It is a happy number.

10063016856 is a `hidden beast` number, since 1 + 0 + 0 + 630 + 16 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10063016856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6840201 + ... + 6841671.

It is an arithmetic number, because the mean of its divisors is an integer number (122212800).

Almost surely, 210063016856 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 10063016856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643238400).

10063016856 is an abundant number, since it is smaller than the sum of its proper divisors (21223459944).

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

10063016856 is a wasteful number, since it uses less digits than its factorization.

10063016856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10063016856 in words is "ten billion, sixty-three million, sixteen thousand, eight hundred fifty-six".