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10205216632 = 231398127083
BaseRepresentation
bin10011000000100011…
…10011111101111000
3222100012220201102101
421200101303331320
5131400013413012
64404353113144
7510615624112
oct114021637570
928305821371
1010205216632
114367640336
121b898587b4
13c68380030
146cb5023b2
153eade7d57
hex260473f78

10205216632 has 16 divisors (see below), whose sum is σ = 20606687640. Its totient is φ = 4710099936.

The previous prime is 10205216599. The next prime is 10205216641. The reversal of 10205216632 is 23661250201.

10205216632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10205216632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49063438 + ... + 49063645.

Almost surely, 210205216632 is an apocalyptic number.

It is an amenable number.

10205216632 is an abundant number, since it is smaller than the sum of its proper divisors (10401471008).

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

10205216632 is a wasteful number, since it uses less digits than its factorization.

10205216632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98127102 (or 98127098 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 10205216632 its reverse (23661250201), we get a palindrome (33866466833).

The spelling of 10205216632 in words is "ten billion, two hundred five million, two hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 98127083 196254166 392508332 785016664 1275652079 2551304158 5102608316 10205216632