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10275404445 = 365232732
BaseRepresentation
bin10011001000111011…
…00011101010011101
3222112002222122000000
421210131203222131
5132021000420240
64415341324513
7512430332235
oct114435435235
928462878000
1010275404445
1143a321a499
121ba9266739
13c79a86197
146d6972cc5
1540215e430
hex264763a9d

10275404445 has 126 divisors (see below), whose sum is σ = 19594379322. Its totient is φ = 5170137984.

The previous prime is 10275404443. The next prime is 10275404483. The reversal of 10275404445 is 54440457201.

10275404445 is a `hidden beast` number, since 10 + 27 + 540 + 44 + 45 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1482404004 + 8793000441 = 38502^2 + 93771^2 .

It is not a de Polignac number, because 10275404445 - 21 = 10275404443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10275404441) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 140758929 + ... + 140759001.

It is an arithmetic number, because the mean of its divisors is an integer number (155510947).

Almost surely, 210275404445 is an apocalyptic number.

10275404445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10275404445 is a deficient number, since it is larger than the sum of its proper divisors (9318974877).

10275404445 is an frugal number, since it uses more digits than its factorization.

10275404445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 10275404445 in words is "ten billion, two hundred seventy-five million, four hundred four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 73 81 115 135 207 219 243 345 365 405 529 621 657 729 1035 1095 1215 1587 1679 1863 1971 2645 3105 3285 3645 4761 5037 5329 5589 5913 7935 8395 9315 9855 14283 15111 15987 16767 17739 23805 25185 26645 27945 29565 38617 42849 45333 47961 53217 71415 75555 79935 83835 88695 115851 122567 128547 135999 143883 193085 214245 226665 239805 266085 347553 367701 385641 407997 431649 579255 612835 642735 679995 719415 1042659 1103103 1223991 1294947 1737765 1838505 1928205 2039985 2158245 2819041 3127977 3309309 3884841 5213295 5515515 6119955 6474735 8457123 9383931 9927927 14095205 15639885 16546545 19424205 25371369 28151793 29783781 42285615 46919655 49639635 76114107 89351343 126856845 140758965 148918905 228342321 380570535 446756715 685026963 1141711605 2055080889 3425134815 10275404445