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10382468192 = 257913213109
BaseRepresentation
bin10011010101101011…
…11110010001100000
3222210120110000211222
421222311332101200
5132230402440232
64434124154212
7515200344365
oct115265762140
928716400758
1010382468192
1144486a6028
122019098968
13c96000c05
14706c8246c
1540b75bd12
hex26ad7e460

10382468192 has 48 divisors (see below), whose sum is σ = 20721556800. Its totient is φ = 5119994880.

The previous prime is 10382468189. The next prime is 10382468197. The reversal of 10382468192 is 29186428301.

It is a happy number.

10382468192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10382468197) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3337934 + ... + 3341042.

It is an arithmetic number, because the mean of its divisors is an integer number (431699100).

Almost surely, 210382468192 is an apocalyptic number.

It is an amenable number.

10382468192 is a deficient number, since it is larger than the sum of its proper divisors (10339088608).

10382468192 is a wasteful number, since it uses less digits than its factorization.

10382468192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 10382468192 in words is "ten billion, three hundred eighty-two million, four hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 79 158 316 632 1264 1321 2528 2642 3109 5284 6218 10568 12436 21136 24872 42272 49744 99488 104359 208718 245611 417436 491222 834872 982444 1669744 1964888 3339488 3929776 4106989 7859552 8213978 16427956 32855912 65711824 131423648 324452131 648904262 1297808524 2595617048 5191234096 10382468192