Search a number
-
+
5066000720 = 24511291791109
BaseRepresentation
bin1001011011111010…
…10000100101010000
3111002001120111112022
410231331100211100
540333344010340
62154405551012
7236353203254
oct45575204520
914061514468
105066000720
11216a697360
12b94715468
13629729c81
14360b62264
151e9b423b5
hex12df50950

5066000720 has 160 divisors (see below), whose sum is σ = 13378608000. Its totient is φ = 1767127040.

The previous prime is 5066000671. The next prime is 5066000741. The reversal of 5066000720 is 270006605.

It is a self number, because there is not a number n which added to its sum of digits gives 5066000720.

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, 4567526 + ... + 4568634.

It is an arithmetic number, because the mean of its divisors is an integer number (83616300).

Almost surely, 25066000720 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 5066000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689304000).

5066000720 is an abundant number, since it is smaller than the sum of its proper divisors (8312607280).

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

5066000720 is a wasteful number, since it uses less digits than its factorization.

5066000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 5066000720 is about 71175.8436549929. The cubic root of 5066000720 is about 1717.4670577272.

The spelling of 5066000720 in words is "five billion, sixty-six million, seven hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 179 220 232 290 319 358 440 464 580 638 716 880 895 1109 1160 1276 1432 1595 1790 1969 2218 2320 2552 2864 3190 3580 3938 4436 5104 5191 5545 6380 7160 7876 8872 9845 10382 11090 12199 12760 14320 15752 17744 19690 20764 22180 24398 25520 25955 31504 32161 39380 41528 44360 48796 51910 57101 60995 64322 78760 83056 88720 97592 103820 114202 121990 128644 157520 160805 195184 198511 207640 228404 243980 257288 285505 321610 353771 397022 415280 456808 487960 514576 571010 643220 707542 794044 913616 975920 992555 1142020 1286440 1415084 1588088 1768855 1985110 2183621 2284040 2572880 2830168 3176176 3537710 3970220 4367242 4568080 5660336 5756819 7075420 7940440 8734484 10918105 11513638 14150840 15880880 17468968 21836210 23027276 28301680 28784095 34937936 43672420 46054552 57568190 63325009 87344840 92109104 115136380 126650018 174689680 230272760 253300036 316625045 460545520 506600072 633250090 1013200144 1266500180 2533000360 5066000720