Search a number
-
+
80312474160 = 24335179207719
BaseRepresentation
bin100101011001011111…
…1110001101000110000
321200022010002101222000
41022302333301220300
52303434443133120
6100521155014000
75542134523662
oct1126277615060
9250263071860
1080312474160
1131073330596
121369459a300
13775baac679
143c5c478532
152150b43990
hex12b2ff1a30

80312474160 has 160 divisors (see below), whose sum is σ = 278178624000. Its totient is φ = 21296911104.

The previous prime is 80312474089. The next prime is 80312474183. The reversal of 80312474160 is 6147421308.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282781 + ... + 490499.

It is an arithmetic number, because the mean of its divisors is an integer number (1738616400).

Almost surely, 280312474160 is an apocalyptic number.

80312474160 is a gapful number since it is divisible by the number (80) 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 80312474160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139089312000).

80312474160 is an abundant number, since it is smaller than the sum of its proper divisors (197866149840).

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

80312474160 is a wasteful number, since it uses less digits than its factorization.

80312474160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207920 (or 207908 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 80312474160 its reverse (6147421308), we get a palindrome (86459895468).

The spelling of 80312474160 in words is "eighty billion, three hundred twelve million, four hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 179 180 216 240 270 358 360 432 537 540 716 720 895 1074 1080 1432 1611 1790 2148 2160 2685 2864 3222 3580 4296 4833 5370 6444 7160 8055 8592 9666 10740 12888 14320 16110 19332 21480 24165 25776 32220 38664 42960 48330 64440 77328 96660 128880 193320 207719 386640 415438 623157 830876 1038595 1246314 1661752 1869471 2077190 2492628 3115785 3323504 3738942 4154380 4985256 5608413 6231570 7477884 8308760 9347355 9970512 11216826 12463140 14955768 16617520 18694710 22433652 24926280 28042065 29911536 37181701 37389420 44867304 49852560 56084130 74363402 74778840 89734608 111545103 112168260 148726804 149557680 185908505 223090206 224336520 297453608 334635309 371817010 446180412 448673040 557725515 594907216 669270618 743634020 892360824 1003905927 1115451030 1338541236 1487268040 1673176545 1784721648 2007811854 2230902060 2677082472 2974536080 3346353090 4015623708 4461804120 5019529635 5354164944 6692706180 8031247416 8923608240 10039059270 13385412360 16062494832 20078118540 26770824720 40156237080 80312474160