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10318648608 = 253223289761
BaseRepresentation
bin10011001110000101…
…00001010100100000
3222122010100122211200
421213002201110200
5132113033223413
64423524241200
7513464031432
oct114702412440
928563318750
1010318648608
114415676474
121bbb840200
13c85a17548
146dc5cc652
15405d52573
hex2670a1520

10318648608 has 216 divisors, whose sum is σ = 31060362060. Its totient is φ = 3248762880.

The previous prime is 10318648607. The next prime is 10318648643. The reversal of 10318648608 is 80684681301.

It is a happy number.

10318648608 is a `hidden beast` number, since 1 + 0 + 31 + 8 + 6 + 4 + 8 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7654850064 + 2663798544 = 87492^2 + 51612^2 .

It is not an unprimeable number, because it can be changed into a prime (10318648607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13558948 + ... + 13559708.

Almost surely, 210318648608 is an apocalyptic number.

10318648608 is a gapful number since it is divisible by the number (18) 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 10318648608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15530181030).

10318648608 is an abundant number, since it is smaller than the sum of its proper divisors (20741713452).

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

10318648608 is a wasteful number, since it uses less digits than its factorization.

10318648608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10318648608 in words is "ten billion, three hundred eighteen million, six hundred forty-eight thousand, six hundred eight".