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10589934480 = 243544124727
BaseRepresentation
bin10011101110011010…
…11001001110010000
31000100000211102002120
421313031121032100
5133142010400410
64510455014240
7523266646356
oct116715311620
930300742076
1010589934480
114544818574
12207666a380
13cc9ca0728
147266497d6
1541ea8d570
hex277359390

10589934480 has 40 divisors (see below), whose sum is σ = 32828797632. Its totient is φ = 2823982464.

The previous prime is 10589934473. The next prime is 10589934503. The reversal of 10589934480 is 8443998501.

10589934480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105899344802 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 22062124 + ... + 22062603.

Almost surely, 210589934480 is an apocalyptic number.

10589934480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10589934480 is an abundant number, since it is smaller than the sum of its proper divisors (22238863152).

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

10589934480 is a wasteful number, since it uses less digits than its factorization.

10589934480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44124743 (or 44124737 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 10589934480 in words is "ten billion, five hundred eighty-nine million, nine hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 44124727 88249454 132374181 176498908 220623635 264748362 352997816 441247270 529496724 661870905 705995632 882494540 1058993448 1323741810 1764989080 2117986896 2647483620 3529978160 5294967240 10589934480