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76854310753 = 1121788142409
BaseRepresentation
bin100011110010011011…
…1111011011101100001
321100101002221111120211
41013210313323131201
52224344200421003
655150102334121
75360343601633
oct1074467733541
9240332844524
1076854310753
112a659289200
1212a8a42a341
13732a50082c
143a1108aa53
151eec24c96d
hex11e4dfb761

76854310753 has 24 divisors (see below), whose sum is σ = 89549054280. Its totient is φ = 65681510400.

The previous prime is 76854310739. The next prime is 76854310759. The reversal of 76854310753 is 35701345867.

It can be written as a sum of positive squares in 4 ways, for example, as 15199930944 + 61654379809 = 123288^2 + 248303^2 .

It is a de Polignac number, because none of the positive numbers 2k-76854310753 is a prime.

It is a super-3 number, since 3×768543107533 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76854310697 and 76854310706.

It is not an unprimeable number, because it can be changed into a prime (76854310759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1791013 + ... + 1833421.

It is an arithmetic number, because the mean of its divisors is an integer number (3731210595).

Almost surely, 276854310753 is an apocalyptic number.

It is an amenable number.

76854310753 is a deficient number, since it is larger than the sum of its proper divisors (12694743527).

76854310753 is a wasteful number, since it uses less digits than its factorization.

76854310753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43329 (or 43318 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 76854310753 in words is "seventy-six billion, eight hundred fifty-four million, three hundred ten thousand, seven hundred fifty-three".

Divisors: 1 11 17 121 187 881 2057 9691 14977 42409 106601 164747 466499 720953 1812217 5131489 7930483 37362329 87235313 410985619 635159593 4520841809 6986755523 76854310753