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827240325769 = 111331892096737
BaseRepresentation
bin11000000100110110101…
…11011010001010001001
32221002020210121200000001
430002123113122022021
5102023142010411034
61432010131043001
7113523533515264
oct14023327321211
92832223550001
10827240325769
11299915663720
121143a9140461
1360015693430
142c078085cdb
15167b99e9a14
hexc09b5da289

827240325769 has 32 divisors (see below), whose sum is σ = 1014485713920. Its totient is φ = 664245964800.

The previous prime is 827240325739. The next prime is 827240325781. The reversal of 827240325769 is 967523042728.

It is a de Polignac number, because none of the positive numbers 2k-827240325769 is a prime.

It is a super-2 number, since 2×8272403257692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827240325739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653832 + ... + 1442905.

It is an arithmetic number, because the mean of its divisors is an integer number (31702678560).

Almost surely, 2827240325769 is an apocalyptic number.

827240325769 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

827240325769 is a deficient number, since it is larger than the sum of its proper divisors (187245388151).

827240325769 is a wasteful number, since it uses less digits than its factorization.

827240325769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096881.

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 827240325769 in words is "eight hundred twenty-seven billion, two hundred forty million, three hundred twenty-five thousand, seven hundred sixty-nine".

Divisors: 1 11 13 31 89 143 341 403 979 1157 2759 4433 12727 30349 35867 394537 2096737 23064107 27257581 64998847 186609593 299833391 714987317 844985011 2052705523 2425924709 5784897383 9294835121 26685171799 63633871213 75203665979 827240325769