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256973354081 = 8313722599011
BaseRepresentation
bin1110111101010011001…
…1100011010001100001
3220120021220200221120122
43233110303203101201
513202240134312311
6314015114450025
724365016320063
oct3572463432141
9816256627518
10256973354081
1199a888393a4
1241977a33915
131b3039c5702
14c61a9d3733
156a4011d0db
hex3bd4ce3461

256973354081 has 8 divisors (see below), whose sum is σ = 261967747104. Its totient is φ = 252024159520.

The previous prime is 256973354047. The next prime is 256973354083. The reversal of 256973354081 is 180453379652.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256973354081 - 210 = 256973353057 is a prime.

It is a super-2 number, since 2×2569733540812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256973354083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11288135 + ... + 11310876.

It is an arithmetic number, because the mean of its divisors is an integer number (32745968388).

It is a 2-persistent number, because it is pandigital, and so is 2⋅256973354081 = 513946708162, but 3⋅256973354081 = 770920062243 is not.

Almost surely, 2256973354081 is an apocalyptic number.

It is an amenable number.

256973354081 is a deficient number, since it is larger than the sum of its proper divisors (4994393023).

256973354081 is a wasteful number, since it uses less digits than its factorization.

256973354081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22599231.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 256973354081 in words is "two hundred fifty-six billion, nine hundred seventy-three million, three hundred fifty-four thousand, eighty-one".

Divisors: 1 83 137 11371 22599011 1875717913 3096064507 256973354081