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10199215936 = 2672131012477
BaseRepresentation
bin10010111111110101…
…11010111101000000
3222022210121212000101
421133322322331000
5131341444402221
64404020332144
7510513622300
oct113772727500
928283555011
1010199215936
114364211988
121b87844054
13c6705b920
146ca7bd600
153ea60ed91
hex25febaf40

10199215936 has 168 divisors, whose sum is σ = 25615809576. Its totient is φ = 3993292800.

The previous prime is 10199215931. The next prime is 10199215991. The reversal of 10199215936 is 63951299101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2271094336 + 7928121600 = 47656^2 + 89040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10199215931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4116330 + ... + 4118806.

It is an arithmetic number, because the mean of its divisors is an integer number (152475057).

Almost surely, 210199215936 is an apocalyptic number.

10199215936 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 10199215936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807904788).

10199215936 is an abundant number, since it is smaller than the sum of its proper divisors (15416593640).

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

10199215936 is a wasteful number, since it uses less digits than its factorization.

10199215936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 46.

The spelling of 10199215936 in words is "ten billion, one hundred ninety-nine million, two hundred fifteen thousand, nine hundred thirty-six".