Search a number
-
+
8674816332 = 22372131318663
BaseRepresentation
bin10000001010000111…
…10011000101001100
3211101120012022212210
420011003303011030
5120231223110312
63552443230420
7424653502500
oct100503630514
924346168783
108674816332
1137517869a6
121821218410
13a832a5820
145c4168300
1535b895e3c
hex2050f314c

8674816332 has 144 divisors (see below), whose sum is σ = 25553670912. Its totient is φ = 2270136960.

The previous prime is 8674816307. The next prime is 8674816343. The reversal of 8674816332 is 2336184768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997033 + ... + 1005695.

It is an arithmetic number, because the mean of its divisors is an integer number (177456048).

Almost surely, 28674816332 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 8674816332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776835456).

8674816332 is an abundant number, since it is smaller than the sum of its proper divisors (16878854580).

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

8674816332 is a wasteful number, since it uses less digits than its factorization.

8674816332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8819 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 8674816332 is about 93138.6940642824. The cubic root of 8674816332 is about 2054.7236961942.

The spelling of 8674816332 in words is "eight billion, six hundred seventy-four million, eight hundred sixteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 131 147 156 182 196 262 273 294 364 393 524 546 588 637 786 917 1092 1274 1572 1703 1834 1911 2548 2751 3406 3668 3822 5109 5502 6419 6812 7644 8663 10218 11004 11921 12838 17326 19257 20436 23842 25676 25989 34652 35763 38514 47684 51978 60641 71526 77028 83447 103956 112619 121282 143052 166894 181923 225238 242564 250341 333788 337857 363846 424487 450476 500682 675714 727692 788333 848974 1001364 1134853 1273461 1351428 1576666 1697948 2269706 2364999 2546922 3153332 3404559 4539412 4729998 5093844 5518331 6809118 7943971 9459996 11036662 13618236 14753089 15887942 16554993 22073324 23831913 29506178 31775884 33109986 44259267 47663826 55607797 59012356 66219972 88518534 95327652 103271623 111215594 166823391 177037068 206543246 222431188 309814869 333646782 413086492 619629738 667293564 722901361 1239259476 1445802722 2168704083 2891605444 4337408166 8674816332