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255566002000 = 2453201763353
BaseRepresentation
bin1110111000000011101…
…0111011011101010000
3220102122211112001110111
43232000322323131100
513141344344031000
6313223322211104
724315110113561
oct3560072733520
9812584461414
10255566002000
1199426388a01
1241644653a94
131b13b2716ba
14c525b2a168
1569ab7c4cba
hex3b80ebb750

255566002000 has 80 divisors (see below), whose sum is σ = 618274726992. Its totient is φ = 102174105600.

The previous prime is 255566001989. The next prime is 255566002007. The reversal of 255566002000 is 200665552.

It can be written as a sum of positive squares in 8 ways, for example, as 9458729536 + 246107272464 = 97256^2 + 496092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255566002007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4002324 + ... + 4065676.

Almost surely, 2255566002000 is an apocalyptic number.

255566002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255566002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309137363496).

255566002000 is an abundant number, since it is smaller than the sum of its proper divisors (362708724992).

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

255566002000 is a wasteful number, since it uses less digits than its factorization.

255566002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65393 (or 65377 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 255566002000 its reverse (200665552), we get a palindrome (255766667552).

The spelling of 255566002000 in words is "two hundred fifty-five billion, five hundred sixty-six million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2017 4034 8068 10085 16136 20170 32272 40340 50425 63353 80680 100850 126706 161360 201700 252125 253412 316765 403400 504250 506824 633530 806800 1008500 1013648 1267060 1583825 2017000 2534120 3167650 4034000 5068240 6335300 7919125 12670600 15838250 25341200 31676500 63353000 126706000 127783001 255566002 511132004 638915005 1022264008 1277830010 2044528016 2555660020 3194575025 5111320040 6389150050 10222640080 12778300100 15972875125 25556600200 31945750250 51113200400 63891500500 127783001000 255566002000