Search a number
-
+
505306236331540 = 2257239150611002709
BaseRepresentation
bin111001011100100101100011…
…0101110000010011000010100
32110021010210201102101021012001
41302321023012232002120110
51012212414133000102130
64550410251425405044
7211302112410534130
oct16271130656023024
92407123642337161
10505306236331540
11137008198114836
124880b898199784
13188c52345ba757
148cacd492b23c0
153d6429504a6ca
hex1cb92c6b82614

505306236331540 has 96 divisors (see below), whose sum is σ = 1217891245132800. Its totient is φ = 172511339051520.

The previous prime is 505306236331483. The next prime is 505306236331621. The reversal of 505306236331540 is 45133632603505.

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, 503439706 + ... + 504442414.

It is an arithmetic number, because the mean of its divisors is an integer number (12686367136800).

Almost surely, 2505306236331540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505306236331540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608945622566400).

505306236331540 is an abundant number, since it is smaller than the sum of its proper divisors (712585008801260).

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

505306236331540 is a wasteful number, since it uses less digits than its factorization.

505306236331540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018025 (or 1018023 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 46.

The spelling of 505306236331540 in words is "five hundred five trillion, three hundred six billion, two hundred thirty-six million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 478 956 1195 1673 2390 3346 4780 6692 8365 15061 16730 30122 33460 60244 75305 105427 150610 210854 301220 421708 527135 1002709 1054270 2005418 2108540 3599579 4010836 5013545 7018963 7199158 10027090 14037926 14398316 17997895 20054180 25197053 28075852 35094815 35995790 50394106 70189630 71991580 100788212 125985265 140379260 239647451 251970530 479294902 503941060 958589804 1198237255 1677532157 2396474510 3355064314 4792949020 6710128628 8387660785 15101800249 16775321570 30203600498 33550643140 60407200996 75509001245 105712601743 151018002490 211425203486 302036004980 422850406972 528563008715 1057126017430 2114252034860 3609330259511 7218660519022 14437321038044 18046651297555 25265311816577 36093302595110 50530623633154 72186605190220 101061247266308 126326559082885 252653118165770 505306236331540