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256000559800 = 235211519111121
BaseRepresentation
bin1110111001101011010…
…0101000101010111000
3220110210010012212200211
43232122310220222320
513143242120403200
6313334404240504
724331634566126
oct3563264505270
9813703185624
10256000559800
1199629707687
12417460a0134
131b1aa2c26ab
14c567728916
1569d4a12aba
hex3b9ad28ab8

256000559800 has 48 divisors (see below), whose sum is σ = 595258329600. Its totient is φ = 102390412800.

The previous prime is 256000559767. The next prime is 256000559809. The reversal of 256000559800 is 8955000652.

256000559800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256000559809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2248240 + ... + 2359360.

It is an arithmetic number, because the mean of its divisors is an integer number (12401215200).

Almost surely, 2256000559800 is an apocalyptic number.

256000559800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256000559800 is an abundant number, since it is smaller than the sum of its proper divisors (339257769800).

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

256000559800 is a wasteful number, since it uses less digits than its factorization.

256000559800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122656 (or 122647 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 256000559800 in words is "two hundred fifty-six billion, five hundred fifty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11519 23038 46076 57595 92152 111121 115190 222242 230380 287975 444484 460760 555605 575950 888968 1111210 1151900 2222420 2303800 2778025 4444840 5556050 11112100 22224200 1280002799 2560005598 5120011196 6400013995 10240022392 12800027990 25600055980 32000069975 51200111960 64000139950 128000279900 256000559800