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10282720404 = 22311202938393
BaseRepresentation
bin10011001001110010…
…11101110010010100
3222112121202022121110
421210321131302110
5132024334023104
64420202215020
7512546452455
oct114471356224
928477668543
1010282720404
1143a7367040
121bab7b4470
13c7b448158
146d791912c
15402b06e89
hex264e5dc94

10282720404 has 48 divisors (see below), whose sum is σ = 26187779520. Its totient is φ = 3114359040.

The previous prime is 10282720403. The next prime is 10282720439. The reversal of 10282720404 is 40402728201.

10282720404 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 (10282720403) 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 15 ways as a sum of consecutive naturals, for example, 248632 + ... + 287024.

It is an arithmetic number, because the mean of its divisors is an integer number (545578740).

Almost surely, 210282720404 is an apocalyptic number.

It is an amenable number.

10282720404 is an abundant number, since it is smaller than the sum of its proper divisors (15905059116).

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

10282720404 is a wasteful number, since it uses less digits than its factorization.

10282720404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40440 (or 40438 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 10282720404 in words is "ten billion, two hundred eighty-two million, seven hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2029 4058 6087 8116 12174 22319 24348 38393 44638 66957 76786 89276 115179 133914 153572 230358 267828 422323 460716 844646 1266969 1689292 2533938 5067876 77899397 155798794 233698191 311597588 467396382 856893367 934792764 1713786734 2570680101 3427573468 5141360202 10282720404