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10755415132 = 2272118575821
BaseRepresentation
bin10100000010001001…
…01001110001011100
31000202120012200212121
422001010221301130
5134011341241012
64535125512324
7530346343300
oct120104516134
930676180777
1010755415132
11461a173640
122101b726a4
13102535c987
14740603d00
1542e379a07
hex281129c5c

10755415132 has 72 divisors (see below), whose sum is σ = 23917381488. Its totient is φ = 4184812800.

The previous prime is 10755415127. The next prime is 10755415147. The reversal of 10755415132 is 23151455701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844782 + ... + 1850602.

It is an arithmetic number, because the mean of its divisors is an integer number (332185854).

Almost surely, 210755415132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755415132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958690744).

10755415132 is an abundant number, since it is smaller than the sum of its proper divisors (13161966356).

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

10755415132 is a wasteful number, since it uses less digits than its factorization.

10755415132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 10755415132 in words is "ten billion, seven hundred fifty-five million, four hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 857 1078 1714 2156 3428 5821 5999 9427 11642 11998 18854 23284 23996 37708 40747 41993 64031 65989 81494 83986 128062 131978 162988 167972 256124 263956 285229 448217 461923 570458 896434 923846 1140916 1792868 1847692 3137519 4988597 6275038 9977194 12550076 19954388 34920179 54874567 69840358 109749134 139680716 219498268 244441253 384121969 488882506 768243938 977765012 1536487876 2688853783 5377707566 10755415132