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10316906496 = 2153413223
BaseRepresentation
bin10011001101110111…
…11000000000000000
3222122000002011010000
421212323320000000
5132112112001441
64423423040000
7513443154411
oct114673700000
928560064100
1010316906496
114414696606
121bbb140000
13c85557600
146dc297808
15405b0b2b6
hex266ef8000

10316906496 has 480 divisors, whose sum is σ = 34827396120. Its totient is φ = 3036413952.

The previous prime is 10316906491. The next prime is 10316906497. The reversal of 10316906496 is 69460961301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10316906491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 448561141 + ... + 448561163.

Almost surely, 210316906496 is an apocalyptic number.

10316906496 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 10316906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413698060).

10316906496 is an abundant number, since it is smaller than the sum of its proper divisors (24510489624).

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

10316906496 is an frugal number, since it uses more digits than its factorization.

10316906496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10316906496 in words is "ten billion, three hundred sixteen million, nine hundred six thousand, four hundred ninety-six".