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820714445152 = 25717592082947
BaseRepresentation
bin10111111000101100110…
…01001001100101100000
32220110102000000120201221
423330112121021211200
5101421310344221102
61425010410504424
7113203032452260
oct13742631114540
92813360016657
10820714445152
112970769a9a58
12113087735114
135c515680604
142ba194a57a0
1516536b35637
hexbf16649960

820714445152 has 48 divisors (see below), whose sum is σ = 1847658193920. Its totient is φ = 351534630528.

The previous prime is 820714445149. The next prime is 820714445153. The reversal of 820714445152 is 251544417028.

It is a junction number, because it is equal to n+sod(n) for n = 820714445099 and 820714445108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820714445153) 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 7 ways as a sum of consecutive naturals, for example, 647458 + ... + 1435489.

It is an arithmetic number, because the mean of its divisors is an integer number (38492879040).

Almost surely, 2820714445152 is an apocalyptic number.

It is an amenable number.

820714445152 is an abundant number, since it is smaller than the sum of its proper divisors (1026943748768).

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

820714445152 is a wasteful number, since it uses less digits than its factorization.

820714445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084723 (or 2084715 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 820714445152 in words is "eight hundred twenty billion, seven hundred fourteen million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1759 3518 7036 12313 14072 24626 28144 49252 56288 98504 197008 394016 2082947 4165894 8331788 14580629 16663576 29161258 33327152 58322516 66654304 116645032 233290064 466580128 3663903773 7327807546 14655615092 25647326411 29311230184 51294652822 58622460368 102589305644 117244920736 205178611288 410357222576 820714445152