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10384516158 = 23197310391201
BaseRepresentation
bin10011010101111011…
…10010010000111110
3222210201022002010120
421222331302100332
5132231414004113
64434240115410
7515223634212
oct115275622076
928721262116
1010384516158
114449874765
122019905b66
13c9656a123
14707256942
1540ba13a23
hex26af7243e

10384516158 has 64 divisors (see below), whose sum is σ = 22201420800. Its totient is φ = 3228595200.

The previous prime is 10384516157. The next prime is 10384516189. The reversal of 10384516158 is 85161548301.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384516157) 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 31 ways as a sum of consecutive naturals, for example, 8645958 + ... + 8647158.

It is an arithmetic number, because the mean of its divisors is an integer number (346897200).

Almost surely, 210384516158 is an apocalyptic number.

10384516158 is an abundant number, since it is smaller than the sum of its proper divisors (11816904642).

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

10384516158 is a wasteful number, since it uses less digits than its factorization.

10384516158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337.

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 10384516158 in words is "ten billion, three hundred eighty-four million, five hundred sixteen thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 19 38 57 73 114 146 219 438 1039 1201 1387 2078 2402 2774 3117 3603 4161 6234 7206 8322 19741 22819 39482 45638 59223 68457 75847 87673 118446 136914 151694 175346 227541 263019 455082 526038 1247839 1441093 1665787 2495678 2882186 3331574 3743517 4323279 4997361 7487034 8646558 9994722 23708941 47417882 71126823 91092247 142253646 182184494 273276741 546553482 1730752693 3461505386 5192258079 10384516158