Search a number
-
+
254905333080 = 233531167410317
BaseRepresentation
bin1110110101100110001…
…0101011010101011000
3220100221210100121002020
43231121202223111120
513134021231124310
6313034001534440
724262535403246
oct3553142532530
9810853317066
10254905333080
1199117462632
124149b344420
131b064423548
14c4a20ad796
15696d7c1170
hex3b598ab558

254905333080 has 128 divisors (see below), whose sum is σ = 794113044480. Its totient is φ = 65387957760.

The previous prime is 254905333061. The next prime is 254905333093. The reversal of 254905333080 is 80333509452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416082 + ... + 826398.

It is an arithmetic number, because the mean of its divisors is an integer number (6204008160).

Almost surely, 2254905333080 is an apocalyptic number.

254905333080 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 254905333080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397056522240).

254905333080 is an abundant number, since it is smaller than the sum of its proper divisors (539207711400).

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

254905333080 is a wasteful number, since it uses less digits than its factorization.

254905333080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410529 (or 410525 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 254905333080 in words is "two hundred fifty-four billion, nine hundred five million, three hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 167 186 248 310 334 372 465 501 620 668 744 835 930 1002 1240 1336 1670 1860 2004 2505 3340 3720 4008 5010 5177 6680 10020 10354 15531 20040 20708 25885 31062 41416 51770 62124 77655 103540 124248 155310 207080 310620 410317 621240 820634 1230951 1641268 2051585 2461902 3282536 4103170 4923804 6154755 8206340 9847608 12309510 12719827 16412680 24619020 25439654 38159481 49238040 50879308 63599135 68522939 76318962 101758616 127198270 137045878 152637924 190797405 205568817 254396540 274091756 305275848 342614695 381594810 411137634 508793080 548183512 685229390 763189620 822275268 1027844085 1370458780 1526379240 1644550536 2055688170 2124211109 2740917560 4111376340 4248422218 6372633327 8222752680 8496844436 10621055545 12745266654 16993688872 21242111090 25490533308 31863166635 42484222180 50981066616 63726333270 84968444360 127452666540 254905333080