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256326957048712 = 231119712159233751
BaseRepresentation
bin111010010010000011000101…
…001110001010001110001000
31020121120121200100200212022011
4322102003011032022032020
5232044130102001024322
62305054551202105304
7104664003643436314
oct7222030516121610
91217517610625264
10256326957048712
1174745719907840
12248b9a6b34b234
13b0046b3993134
1447424103c0b44
151e979bbc44677
hexe920c538a388

256326957048712 has 64 divisors (see below), whose sum is σ = 559673388518400. Its totient is φ = 108825381000000.

The previous prime is 256326957048691. The next prime is 256326957048761. The reversal of 256326957048712 is 217840759623652.

It is a super-2 number, since 2×2563269570487122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1079498164 + ... + 1079735587.

It is an arithmetic number, because the mean of its divisors is an integer number (8744896695600).

It is a 1-persistent number, because it is pandigital, but 2⋅256326957048712 = 512653914097424 is not.

Almost surely, 2256326957048712 is an apocalyptic number.

256326957048712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256326957048712 is an abundant number, since it is smaller than the sum of its proper divisors (303346431469688).

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

256326957048712 is a wasteful number, since it uses less digits than its factorization.

256326957048712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159233858 (or 2159233854 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 67.

The spelling of 256326957048712 in words is "two hundred fifty-six trillion, three hundred twenty-six billion, nine hundred fifty-seven million, forty-eight thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 71 76 88 142 152 209 284 418 568 781 836 1349 1562 1672 2698 3124 5396 6248 10792 14839 29678 59356 118712 2159233751 4318467502 8636935004 17273870008 23751571261 41025441269 47503142522 82050882538 95006285044 153305596321 164101765076 190012570088 306611192642 328203530152 451279853959 613222385284 902559707918 1226444770568 1686361559531 1805119415836 2912806330099 3372723119062 3610238831672 5825612660198 6745446238124 11651225320396 13490892476248 23302450640792 32040869631089 64081739262178 128163478524356 256326957048712