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256006675540 = 225711166238101
BaseRepresentation
bin1110111001101100101…
…1111101110001010100
3220110210112201120220201
43232123023331301110
513143300202104130
6313335143310244
724332040560230
oct3563313756124
9813715646821
10256006675540
1199632104510
124174814b384
131b1ab654285
14c56847b5c0
1569d531ebca
hex3b9b2fdc54

256006675540 has 48 divisors (see below), whose sum is σ = 670272027264. Its totient is φ = 79794288000.

The previous prime is 256006675481. The next prime is 256006675559. The reversal of 256006675540 is 45576600652.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 83117511 + ... + 83120590.

It is an arithmetic number, because the mean of its divisors is an integer number (13964000568).

Almost surely, 2256006675540 is an apocalyptic number.

256006675540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256006675540 is an abundant number, since it is smaller than the sum of its proper divisors (414265351724).

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

256006675540 is a wasteful number, since it uses less digits than its factorization.

256006675540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166238128 (or 166238126 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 256006675540 in words is "two hundred fifty-six billion, six million, six hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 166238101 332476202 664952404 831190505 1163666707 1662381010 1828619111 2327333414 3324762020 3657238222 4654666828 5818333535 7314476444 9143095555 11636667070 12800333777 18286191110 23273334140 25600667554 36572382220 51201335108 64001668885 128003337770 256006675540