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15393613041 = 32413572
BaseRepresentation
bin11100101011000011…
…11110010011110001
31110201210210120021100
432111201332103301
5223011231104131
611023254315013
71053316360212
oct162541762361
943653716240
1015393613041
11658a325354
122b97358a69
1315b4262491
14a60605409
156016657e6
hex39587e4f1

15393613041 has 9 divisors (see below), whose sum is σ = 22235756491. Its totient is φ = 10262160552.

The previous prime is 15393613009. The next prime is 15393613051. The reversal of 15393613041 is 14031639351.

It is a happy number.

The square root of 15393613041 is 124071.

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

15393613041 is a `hidden beast` number, since 1 + 5 + 39 + 3 + 613 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10352045025 + 5041568016 = 101745^2 + 71004^2 .

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

It is not a de Polignac number, because 15393613041 - 25 = 15393613009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15393612987 and 15393613005.

It is not an unprimeable number, because it can be changed into a prime (15393613051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 351535 + ... + 392891.

Almost surely, 215393613041 is an apocalyptic number.

15393613041 is the 124071-st square number.

15393613041 is the 62036-th centered octagonal number.

It is an amenable number.

15393613041 is a deficient number, since it is larger than the sum of its proper divisors (6842143450).

15393613041 is an frugal number, since it uses more digits than its factorization.

15393613041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82720 (or 41360 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 15393613041 by its sum of digits (36), we get a square (554170069476 = 7444262).

The spelling of 15393613041 in words is "fifteen billion, three hundred ninety-three million, six hundred thirteen thousand, forty-one".

Divisors: 1 3 9 41357 124071 372213 1710401449 5131204347 15393613041