Search a number
-
+
56530017320 = 23572311377681
BaseRepresentation
bin110100101001011100…
…111001110000101000
312101220200012102101012
4310221130321300220
51411233141023240
641545230243052
74040603135060
oct645134716050
9171820172335
1056530017320
1121a797a2787
12ab57956488
13543b8a06ba
142a43aaa3a0
15170ccc4b65
hexd29739c28

56530017320 has 128 divisors (see below), whose sum is σ = 153027325440. Its totient is φ = 18374737920.

The previous prime is 56530017301. The next prime is 56530017331. The reversal of 56530017320 is 2371003565.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688880 + ... + 766560.

It is an arithmetic number, because the mean of its divisors is an integer number (1195525980).

Almost surely, 256530017320 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 56530017320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76513662720).

56530017320 is an abundant number, since it is smaller than the sum of its proper divisors (96497308120).

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

56530017320 is a wasteful number, since it uses less digits than its factorization.

56530017320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77835 (or 77831 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The spelling of 56530017320 in words is "fifty-six billion, five hundred thirty million, seventeen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 113 115 140 161 184 226 230 280 322 452 460 565 644 791 805 904 920 1130 1288 1582 1610 2260 2599 3164 3220 3955 4520 5198 6328 6440 7910 10396 12995 15820 18193 20792 25990 31640 36386 51980 72772 77681 90965 103960 145544 155362 181930 310724 363860 388405 543767 621448 727720 776810 1087534 1553620 1786663 2175068 2718835 3107240 3573326 4350136 5437670 7146652 8777953 8933315 10875340 12506641 14293304 17555906 17866630 21750680 25013282 35111812 35733260 43889765 50026564 61445671 62533205 70223624 71466520 87779530 100053128 122891342 125066410 175559060 201892919 245782684 250132820 307228355 351118120 403785838 491565368 500265640 614456710 807571676 1009464595 1228913420 1413250433 1615143352 2018929190 2457826840 2826500866 4037858380 5653001732 7066252165 8075716760 11306003464 14132504330 28265008660 56530017320