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10274145568 = 2517127148711
BaseRepresentation
bin10011001000110001…
…10000010100100000
3222112000121200010221
421210120300110200
5132020140124233
64415254332424
7512413540111
oct114430602440
928460550127
1010274145568
1143a253a6a5
121ba895a114
13c7973519b
146d6726208
15401eb142d
hex264630520

10274145568 has 48 divisors (see below), whose sum is σ = 21585844224. Its totient is φ = 4796789760.

The previous prime is 10274145521. The next prime is 10274145569. The reversal of 10274145568 is 86554147201.

It is not an unprimeable number, because it can be changed into a prime (10274145569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5268 + ... + 143443.

It is an arithmetic number, because the mean of its divisors is an integer number (449705088).

Almost surely, 210274145568 is an apocalyptic number.

It is an amenable number.

10274145568 is an abundant number, since it is smaller than the sum of its proper divisors (11311698656).

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

10274145568 is a wasteful number, since it uses less digits than its factorization.

10274145568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148865 (or 148857 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 10274145568 in words is "ten billion, two hundred seventy-four million, one hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 127 136 254 272 508 544 1016 2032 2159 4064 4318 8636 17272 34544 69088 148711 297422 594844 1189688 2379376 2528087 4758752 5056174 10112348 18886297 20224696 37772594 40449392 75545188 80898784 151090376 302180752 321067049 604361504 642134098 1284268196 2568536392 5137072784 10274145568