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255663344020 = 22572922937411
BaseRepresentation
bin1110111000011010111…
…0010000100110010100
3220102220121200112121111
43232012232100212110
513142044304002040
6313241120424404
724320401365550
oct3560656204624
9812817615544
10255663344020
1199476324457
1241671178104
131b155494426
14c534a28860
1569b5101dea
hex3b86b90994

255663344020 has 144 divisors (see below), whose sum is σ = 637734883968. Its totient is φ = 84333150720.

The previous prime is 255663344011. The next prime is 255663344023. The reversal of 255663344020 is 20443366552.

It is a super-3 number, since 3×2556633440203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255663344023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34494115 + ... + 34501525.

It is an arithmetic number, because the mean of its divisors is an integer number (4428714472).

Almost surely, 2255663344020 is an apocalyptic number.

255663344020 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 255663344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318867441984).

255663344020 is an abundant number, since it is smaller than the sum of its proper divisors (382071539948).

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

255663344020 is a wasteful number, since it uses less digits than its factorization.

255663344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 255663344020 in words is "two hundred fifty-five billion, six hundred sixty-three million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 293 406 580 586 812 841 1015 1172 1465 1682 2030 2051 2930 3364 4060 4102 4205 5860 5887 7411 8204 8410 8497 10255 11774 14822 16820 16994 20510 23548 29435 29644 33988 37055 41020 42485 51877 58870 59479 74110 84970 103754 117740 118958 148220 169940 207508 214919 237916 246413 259385 297395 429838 492826 518770 594790 859676 985652 1037540 1074595 1189580 1232065 1504433 1724891 2149190 2171423 2464130 3008866 3449782 4298380 4342846 4928260 6017732 6232651 6899564 7522165 8624455 8685692 10857115 12465302 15044330 15199961 17248910 21714230 24930604 30088660 30399922 31163255 34497820 43428460 43628557 60799844 62326510 62971267 75999805 87257114 124653020 125942534 151999610 174514228 218142785 251885068 303999220 314856335 436285570 440798869 629712670 872571140 881597738 1259425340 1763195476 1826166743 2203994345 3652333486 4407988690 7304666972 8815977380 9130833715 12783167201 18261667430 25566334402 36523334860 51132668804 63915836005 127831672010 255663344020