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10165058947 = 412813112837
BaseRepresentation
bin10010111011110001…
…00111110110000011
3222020102100111102201
421131320213312003
5131304223341242
64400400254031
7506620401241
oct113570476603
928212314381
1010165058947
114346a0226a
121b78311317
13c5cc5c7a4
146c604b791
153e76144b7
hex25de27d83

10165058947 has 16 divisors (see below), whose sum is σ = 10487340864. Its totient is φ = 9846592000.

The previous prime is 10165058929. The next prime is 10165058977. The reversal of 10165058947 is 74985056101.

10165058947 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10165058947 - 27 = 10165058819 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10165058897 and 10165058906.

It is not an unprimeable number, because it can be changed into a prime (10165058977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3581613 + ... + 3584449.

It is an arithmetic number, because the mean of its divisors is an integer number (655458804).

Almost surely, 210165058947 is an apocalyptic number.

10165058947 is a deficient number, since it is larger than the sum of its proper divisors (322281917).

10165058947 is a wasteful number, since it uses less digits than its factorization.

10165058947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470.

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 10165058947 in words is "ten billion, one hundred sixty-five million, fifty-eight thousand, nine hundred forty-seven".

Divisors: 1 41 281 311 2837 11521 12751 87391 116317 797197 882307 3583031 32685077 36174587 247928267 10165058947