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814079089845 = 325717152022239
BaseRepresentation
bin10111101100010101110…
…01010001110010110101
32212211021120102121102200
423312022321101302311
5101314213221333340
61421552140055113
7112546432043130
oct13661271216265
92784246377380
10814079089845
1129428147233a
12111935534499
135b9c8a8a578
142b58a149217
1516299349330
hexbd8ae51cb5

814079089845 has 48 divisors (see below), whose sum is σ = 1707513799680. Its totient is φ = 350259236352.

The previous prime is 814079089801. The next prime is 814079089847. The reversal of 814079089845 is 548980970418.

It is not a de Polignac number, because 814079089845 - 29 = 814079089333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814079089847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76005765 + ... + 76016474.

It is an arithmetic number, because the mean of its divisors is an integer number (35573204160).

Almost surely, 2814079089845 is an apocalyptic number.

814079089845 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

814079089845 is an abundant number, since it is smaller than the sum of its proper divisors (893434709835).

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

814079089845 is a wasteful number, since it uses less digits than its factorization.

814079089845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152022274 (or 152022271 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 814079089845 in words is "eight hundred fourteen billion, seventy-nine million, eighty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 152022239 456066717 760111195 1064155673 1368200151 2280333585 2584378063 3192467019 5320778365 6841000755 7753134189 9577401057 12921890315 15962335095 18090646441 23259402567 38765670945 47887005285 54271939323 90453232205 116297012835 162815817969 271359696615 814079089845