Search a number
-
+
108329273856 = 293316374787
BaseRepresentation
bin110010011100011101…
…1011000101000000000
3101100121122122021222000
41210320323120220000
53233324243230411
6121433224144000
710553333430516
oct1447073305000
9340548567860
10108329273856
1141a40061901
1218bb3308000
13a2a532cc5b
14535935c4b6
152c405c7956
hex1938ed8a00

108329273856 has 160 divisors (see below), whose sum is σ = 320925084480. Its totient is φ = 36080160768.

The previous prime is 108329273809. The next prime is 108329273861. The reversal of 108329273856 is 658372923801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22627495 + ... + 22632281.

It is an arithmetic number, because the mean of its divisors is an integer number (2005781778).

Almost surely, 2108329273856 is an apocalyptic number.

108329273856 is a gapful number since it is divisible by the number (16) 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 108329273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160462542240).

108329273856 is an abundant number, since it is smaller than the sum of its proper divisors (212595810624).

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

108329273856 is an equidigital number, since it uses as much as digits as its factorization.

108329273856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 108329273856 in words is "one hundred eight billion, three hundred twenty-nine million, two hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1637 1728 2304 3274 3456 4608 4787 4911 6548 6912 9574 9822 13096 13824 14361 14733 19148 19644 26192 28722 29466 38296 39288 43083 44199 52384 57444 58932 76592 78576 86166 88398 104768 114888 117864 129249 153184 157152 172332 176796 209536 229776 235728 258498 306368 314304 344664 353592 419072 459552 471456 516996 612736 628608 689328 707184 838144 919104 942912 1033992 1225472 1257216 1378656 1414368 1838208 1885824 2067984 2450944 2514432 2757312 2828736 3676416 3771648 4135968 5514624 5657472 7352832 7543296 7836319 8271936 11029248 11314944 15672638 16543872 22058496 22629888 23508957 31345276 33087744 47017914 62690552 66175488 70526871 94035828 125381104 141053742 188071656 211580613 250762208 282107484 376143312 423161226 501524416 564214968 752286624 846322452 1003048832 1128429936 1504573248 1692644904 2006097664 2256859872 3009146496 3385289808 4012195328 4513719744 6018292992 6770579616 9027439488 12036585984 13541159232 18054878976 27082318464 36109757952 54164636928 108329273856