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803816282025 = 325211331615193
BaseRepresentation
bin10111011001001110010…
…11110001011110101001
32211211210100010221202100
423230213023301132221
5101132203432011100
61413133524324013
7112034213443461
oct13544713613651
92754710127670
10803816282025
1128a995376989
1210b950543609
135aa517c4b13
142ac95134ba1
1515d98377400
hexbb272f17a9

803816282025 has 36 divisors (see below), whose sum is σ = 1452465242748. Its totient is φ = 424908180480.

The previous prime is 803816282021. The next prime is 803816282083. The reversal of 803816282025 is 520282618308.

803816282025 is a `hidden beast` number, since 8 + 0 + 381 + 62 + 8 + 202 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 291240470889 + 512575811136 = 539667^2 + 715944^2 .

It is not a de Polignac number, because 803816282025 - 22 = 803816282021 is a prime.

It is a super-2 number, since 2×8038162820252 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (803816282021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15782172 + ... + 15833021.

It is an arithmetic number, because the mean of its divisors is an integer number (40346256743).

Almost surely, 2803816282025 is an apocalyptic number.

It is an amenable number.

803816282025 is a deficient number, since it is larger than the sum of its proper divisors (648648960723).

803816282025 is a wasteful number, since it uses less digits than its factorization.

803816282025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31615322 (or 31615314 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 803816282025 in words is "eight hundred three billion, eight hundred sixteen million, two hundred eighty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 113 225 339 565 1017 1695 2825 5085 8475 25425 31615193 94845579 158075965 284536737 474227895 790379825 1422683685 2371139475 3572516809 7113418425 10717550427 17862584045 32152651281 53587752135 89312920225 160763256405 267938760675 803816282025