Search a number
-
+
256093596388 = 2271031371813581
BaseRepresentation
bin1110111010000001011…
…1100010101011100100
3220111000121021121220101
43232200113202223210
513143434430041023
6313351530313444
724334144436620
oct3564027425344
9814017247811
10256093596388
1199677182423
1241771288884
131b1c3668826
14c575c26180
1569dcc8e1ad
hex3ba05e2ae4

256093596388 has 96 divisors (see below), whose sum is σ = 523959141888. Its totient is φ = 107269401600.

The previous prime is 256093596377. The next prime is 256093596413. The reversal of 256093596388 is 883695390652.

256093596388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2560935963882 (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71512758 + ... + 71516338.

It is an arithmetic number, because the mean of its divisors is an integer number (5457907728).

Almost surely, 2256093596388 is an apocalyptic number.

256093596388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256093596388 is an abundant number, since it is smaller than the sum of its proper divisors (267865545500).

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

256093596388 is a wasteful number, since it uses less digits than its factorization.

256093596388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 64.

The spelling of 256093596388 in words is "two hundred fifty-six billion, ninety-three million, five hundred ninety-six thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 103 137 181 206 274 362 412 548 721 724 959 1267 1442 1918 2534 2884 3581 3836 5068 7162 14111 14324 18643 24797 25067 28222 37286 49594 50134 56444 74572 98777 99188 100268 130501 173579 197554 261002 347158 368843 395108 490597 522004 648161 694316 737686 981194 1296322 1475372 1962388 2554091 2581901 2592644 3434179 4537127 5108182 5163802 6868358 9074254 10216364 10327604 13736716 17878637 18148508 35757274 50531491 66760583 71514548 88798057 101062982 133521166 177596114 202125964 267042332 353720437 355192228 467324081 621586399 707440874 934648162 1243172798 1414881748 1869296324 2486345596 9146199871 18292399742 36584799484 64023399097 128046798194 256093596388