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10446205379481 = 3210773532
BaseRepresentation
bin1001100000000011001001…
…0111000110001110011001
31100222122111000101002200100
42120000302113012032121
52332122312034120411
634114530454530013
72125466464445424
oct230006227061631
940878430332610
1010446205379481
113368235671953
121208665066909
135aa0c43338a1
14281855a909bb
15131ae2ec9456
hex980325c6399

10446205379481 has 9 divisors (see below), whose sum is σ = 15088977331519. Its totient is φ = 6964130455536.

The previous prime is 10446205379359. The next prime is 10446205379497. The reversal of 10446205379481 is 18497350264401.

The square root of 10446205379481 is 3232059.

It is a perfect power (a square), and thus also a powerful number.

10446205379481 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 6 + 20 + 537 + 9 + 4 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1769551760025 + 8676653619456 = 1330245^2 + 2945616^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10446205379481 - 213 = 10446205371289 is a prime.

It is a super-2 number, since 2×104462053794812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10446205378481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9157501 + ... + 10234853.

It is a 1-persistent number, because it is pandigital, but 2⋅10446205379481 = 20892410758962 is not.

Almost surely, 210446205379481 is an apocalyptic number.

10446205379481 is the 3232059-th square number.

10446205379481 is the 1616030-th centered octagonal number.

It is an amenable number.

10446205379481 is a deficient number, since it is larger than the sum of its proper divisors (4642771952038).

10446205379481 is an frugal number, since it uses more digits than its factorization.

10446205379481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154712 (or 1077356 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10446205379481 in words is "ten trillion, four hundred forty-six billion, two hundred five million, three hundred seventy-nine thousand, four hundred eighty-one".

Divisors: 1 3 9 1077353 3232059 9696177 1160689486609 3482068459827 10446205379481