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10109782296 = 23322341612441
BaseRepresentation
bin10010110101001011…
…10000100100011000
3222002120100011010100
421122211300210120
5131201101013141
64351103415400
7505346505645
oct113245604430
928076304110
1010109782296
114318788089
121b618b4560
13c51677703
146bc97cdcc
153e28460b6
hex25a970918

10109782296 has 192 divisors, whose sum is σ = 29759970240. Its totient is φ = 3091968000.

The previous prime is 10109782289. The next prime is 10109782301. The reversal of 10109782296 is 69228790101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4140436 + ... + 4142876.

It is an arithmetic number, because the mean of its divisors is an integer number (154999845).

Almost surely, 210109782296 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 10109782296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879985120).

10109782296 is an abundant number, since it is smaller than the sum of its proper divisors (19650187944).

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

10109782296 is a wasteful number, since it uses less digits than its factorization.

10109782296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10109782296 in words is "ten billion, one hundred nine million, seven hundred eighty-two thousand, two hundred ninety-six".