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256116616301 = 7132814468311
BaseRepresentation
bin1110111010000110111…
…1010110110001101101
3220111002012121011021202
43232201233112301231
513144011323210201
6313354111535245
724334544214230
oct3564157266155
9814065534252
10256116616301
1199689175647
1241778b2a525
131b1c8368690
14c578cd9417
1569decd9c6b
hex3ba1bd6c6d

256116616301 has 8 divisors (see below), whose sum is σ = 315220450944. Its totient is φ = 202641718320.

The previous prime is 256116616291. The next prime is 256116616303. The reversal of 256116616301 is 103616611652.

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 256116616301 - 26 = 256116616237 is a prime.

It is a super-2 number, since 2×2561166163012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256116616303) by changing a digit.

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, 1407234065 + ... + 1407234246.

It is an arithmetic number, because the mean of its divisors is an integer number (39402556368).

Almost surely, 2256116616301 is an apocalyptic number.

It is an amenable number.

256116616301 is a deficient number, since it is larger than the sum of its proper divisors (59103834643).

256116616301 is a wasteful number, since it uses less digits than its factorization.

256116616301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814468331.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 256116616301 in words is "two hundred fifty-six billion, one hundred sixteen million, six hundred sixteen thousand, three hundred one".

Divisors: 1 7 13 91 2814468311 19701278177 36588088043 256116616301