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256661206511444 = 22734335571223077
BaseRepresentation
bin111010010110111010011000…
…000010101010111101010100
31020122202120102210000212101222
4322112322120002222331110
5232120114122331331234
62305512310332105512
7105030105651131000
oct7226723002527524
91218676383025358
10256661206511444
1174864451a28339
12249527b2905298
13b02a081390507
14475467c09b700
151ea153112c42e
hexe96e980aaf54

256661206511444 has 96 divisors (see below), whose sum is σ = 536130859756800. Its totient is φ = 107409281890176.

The previous prime is 256661206511431. The next prime is 256661206511471. The reversal of 256661206511444 is 444115602166652.

256661206511444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209237234 + ... + 210460310.

It is an arithmetic number, because the mean of its divisors is an integer number (5584696455800).

Almost surely, 2256661206511444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256661206511444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268065429878400).

256661206511444 is an abundant number, since it is smaller than the sum of its proper divisors (279469653245356).

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

256661206511444 is a wasteful number, since it uses less digits than its factorization.

256661206511444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226702 (or 1226686 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 53.

The spelling of 256661206511444 in words is "two hundred fifty-six trillion, six hundred sixty-one billion, two hundred six million, five hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 343 602 686 1204 1372 2107 3557 4214 7114 8428 14228 14749 24899 29498 49798 58996 99596 152951 174293 305902 348586 611804 697172 1070657 1220051 1223077 2141314 2440102 2446154 4282628 4880204 4892308 7494599 8561539 14989198 17123078 29978396 34246156 52462193 52592311 59930773 104924386 105184622 119861546 209848772 210369244 239723092 368146177 419515411 736292354 839030822 1472584708 1678061644 2577023239 4350484889 5154046478 8700969778 10308092956 17401939556 18039162673 30453394223 36078325346 60906788446 72156650692 121813576892 187070850227 213173759561 374141700454 426347519122 748283400908 852695038244 1309495951589 1492216316927 2618991903178 2984432633854 5237983806356 5968865267708 9166471661123 18332943322246 36665886644492 64165301627861 128330603255722 256661206511444