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10189574330832 = 2432135443148681
BaseRepresentation
bin1001010001000111000111…
…1101010101100111010000
31100002010001221210001212200
42110101301331111213100
52313421222012041312
633401005324523200
72101113102514341
oct224216175254720
940063057701780
1010189574330832
113279413082706
1211869839b0500
1358bb4652bc90
1427326c7240c8
1512a0c2e750dc
hex94471f559d0

10189574330832 has 60 divisors (see below), whose sum is σ = 30710244863844. Its totient is φ = 3135253639680.

The previous prime is 10189574330777. The next prime is 10189574330833. The reversal of 10189574330832 is 23803347598101.

10189574330832 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 9 + 574 + 3 + 30 + 8 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3555879575616 + 6633694755216 = 1885704^2 + 2575596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10189574330833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2721572469 + ... + 2721576212.

Almost surely, 210189574330832 is an apocalyptic number.

10189574330832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10189574330832 is an abundant number, since it is smaller than the sum of its proper divisors (20520670533012).

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

10189574330832 is a wasteful number, since it uses less digits than its factorization.

10189574330832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443148708 (or 5443148699 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10189574330832 in words is "ten trillion, one hundred eighty-nine billion, five hundred seventy-four million, three hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5443148681 10886297362 16329446043 21772594724 32658892086 43545189448 48988338129 65317784172 70760932853 87090378896 97976676258 130635568344 141521865706 195953352516 212282798559 261271136688 283043731412 391906705032 424565597118 566087462824 636848395677 783813410064 849131194236 1132174925648 1273696791354 1698262388472 2547393582708 3396524776944 5094787165416 10189574330832