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827117114747 = 71126574042823
BaseRepresentation
bin11000000100101000000…
…01011001010101111011
32221001221012202220020212
430002110001121111323
5102022413440132442
61431550010141335
7113520506321420
oct14022401312573
92831835686225
10827117114747
11299862059430
12114373a2184b
135ccc5cb3ac1
142c065971d47
15167adcaca82
hexc09405957b

827117114747 has 16 divisors (see below), whose sum is σ = 1031599314432. Its totient is φ = 644264113920.

The previous prime is 827117114731. The next prime is 827117114753. The reversal of 827117114747 is 747411711728.

It is not a de Polignac number, because 827117114747 - 24 = 827117114731 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827117114695 and 827117114704.

It is not an unprimeable number, because it can be changed into a prime (827117174747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816823 + ... + 2226000.

It is an arithmetic number, because the mean of its divisors is an integer number (64474957152).

Almost surely, 2827117114747 is an apocalyptic number.

827117114747 is a deficient number, since it is larger than the sum of its proper divisors (204482199685).

827117114747 is a wasteful number, since it uses less digits than its factorization.

827117114747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045498.

The product of its digits is 614656, while the sum is 50.

The spelling of 827117114747 in words is "eight hundred twenty-seven billion, one hundred seventeen million, one hundred fourteen thousand, seven hundred forty-seven".

Divisors: 1 7 11 77 2657 18599 29227 204589 4042823 28299761 44471053 311297371 10741780711 75192464977 118159587821 827117114747