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10430764305 = 35131913121491
BaseRepresentation
bin10011011011011100…
…01101010100010001
3222220221022201122220
421231232031110101
5132330233424210
64443011251253
7516325014363
oct115556152421
928827281586
1010430764305
114472992675
1220312a9b29
13ca30108b0
1470d454d33
15410aebc70
hex26db8d511

10430764305 has 64 divisors (see below), whose sum is σ = 19064263680. Its totient is φ = 4827513600.

The previous prime is 10430764291. The next prime is 10430764327. The reversal of 10430764305 is 50346703401.

10430764305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10430764305 - 26 = 10430764241 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 474610 + ... + 496100.

It is an arithmetic number, because the mean of its divisors is an integer number (297879120).

Almost surely, 210430764305 is an apocalyptic number.

10430764305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10430764305 is a deficient number, since it is larger than the sum of its proper divisors (8633499375).

10430764305 is a wasteful number, since it uses less digits than its factorization.

10430764305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21662.

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 10430764305 in words is "ten billion, four hundred thirty million, seven hundred sixty-four thousand, three hundred five".

Divisors: 1 3 5 13 15 19 39 57 65 95 131 195 247 285 393 655 741 1235 1703 1965 2489 3705 5109 7467 8515 12445 21491 25545 32357 37335 64473 97071 107455 161785 279383 322365 408329 485355 838149 1224987 1396915 2041645 2815321 4190745 5308277 6124935 8445963 14076605 15924831 26541385 36599173 42229815 53491099 79624155 109797519 160473297 182995865 267455495 548987595 695384287 802366485 2086152861 3476921435 10430764305