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256080944964 = 2231331331159979
BaseRepresentation
bin1110111001111110011…
…1010001111101000100
3220110222201110212102010
43232133213101331010
513143423210214324
6313350355214220
724333632055165
oct3563747217504
9813881425363
10256080944964
11996700211a9
1241768ba7370
131b1c0b59190
14c57429176c
1569dbae0829
hex3b9f9d1f44

256080944964 has 96 divisors (see below), whose sum is σ = 666253987840. Its totient is φ = 76021545600.

The previous prime is 256080944957. The next prime is 256080944993. The reversal of 256080944964 is 469449080652.

It is a super-2 number, since 2×2560809449642 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1520727 + ... + 1680705.

Almost surely, 2256080944964 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 256080944964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333126993920).

256080944964 is an abundant number, since it is smaller than the sum of its proper divisors (410173042876).

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

256080944964 is a wasteful number, since it uses less digits than its factorization.

256080944964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160361 (or 160359 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 256080944964 in words is "two hundred fifty-six billion, eighty million, nine hundred forty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 331 372 403 662 806 993 1209 1324 1612 1986 2418 3972 4303 4836 8606 10261 12909 17212 20522 25818 30783 41044 51636 61566 123132 133393 159979 266786 319958 400179 479937 533572 639916 800358 959874 1600716 1919748 2079727 4159454 4959349 6239181 8318908 9918698 12478362 14878047 19837396 24956724 29756094 52953049 59512188 64471537 105906098 128943074 158859147 193414611 211812196 257886148 317718294 386829222 635436588 688389637 773658444 1376779274 1641544519 2065168911 2753558548 3283089038 4130337822 4924633557 6566178076 8260675644 9849267114 19698534228 21340078747 42680157494 64020236241 85360314988 128040472482 256080944964