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828012435443256 = 23374928645449067
BaseRepresentation
bin1011110001000100101010101…
…1000101011000111000111000
311000120202012211021212010000010
42330101022223011120320320
51332012123431433141011
612053011354522541520
7336256632020303550
oct27421125305307070
94016665737763003
10828012435443256
1121a915113628098
1278a4a4353678a0
13297033120a921b
141086803115a160
1565ad784b3e1a6
hex2f112ab158e38

828012435443256 has 32 divisors (see below), whose sum is σ = 2365749815552640. Its totient is φ = 236574981555168.

The previous prime is 828012435443129. The next prime is 828012435443261. The reversal of 828012435443256 is 652344534210828.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 828012435443196 and 828012435443205.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2464322724366 + ... + 2464322724701.

It is an arithmetic number, because the mean of its divisors is an integer number (73929681736020).

Almost surely, 2828012435443256 is an apocalyptic number.

It is an amenable number.

828012435443256 is an abundant number, since it is smaller than the sum of its proper divisors (1537737380109384).

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

828012435443256 is a wasteful number, since it uses less digits than its factorization.

828012435443256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928645449083 (or 4928645449079 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 57.

The spelling of 828012435443256 in words is "eight hundred twenty-eight trillion, twelve billion, four hundred thirty-five million, four hundred forty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4928645449067 9857290898134 14785936347201 19714581796268 29571872694402 34500518143469 39429163592536 59143745388804 69001036286938 103501554430407 118287490777608 138002072573876 207003108860814 276004145147752 414006217721628 828012435443256