Search a number
-
+
160294996480 = 295174778367
BaseRepresentation
bin1001010101001001010…
…0111000101000000000
3120022202020022112002111
42111102110320220000
510111241004341410
6201345530025104
714403154663153
oct2252224705000
9508666275074
10160294996480
1161a8738a403
1227096578194
1312167405158
147a88b83c9a
15428280db8a
hex2552538a00

160294996480 has 160 divisors (see below), whose sum is σ = 415603685376. Its totient is φ = 59061633024.

The previous prime is 160294996457. The next prime is 160294996559. The reversal of 160294996480 is 84699492061.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 2006257 + ... + 2084623.

Almost surely, 2160294996480 is an apocalyptic number.

160294996480 is a gapful number since it is divisible by the number (10) 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 160294996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207801842688).

160294996480 is an abundant number, since it is smaller than the sum of its proper divisors (255308688896).

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

160294996480 is an equidigital number, since it uses as much as digits as its factorization.

160294996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78454 (or 78438 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The spelling of 160294996480 in words is "one hundred sixty billion, two hundred ninety-four million, nine hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 64 68 80 85 94 128 136 160 170 188 235 256 272 320 340 376 470 512 544 640 680 752 799 940 1088 1280 1360 1504 1598 1880 2176 2560 2720 3008 3196 3760 3995 4352 5440 6016 6392 7520 7990 8704 10880 12032 12784 15040 15980 21760 24064 25568 30080 31960 43520 51136 60160 63920 78367 102272 120320 127840 156734 204544 255680 313468 391835 409088 511360 626936 783670 1022720 1253872 1332239 1567340 2045440 2507744 2664478 3134680 3683249 5015488 5328956 6269360 6661195 7366498 10030976 10657912 12538720 13322390 14732996 18416245 20061952 21315824 25077440 26644780 29465992 36832490 40123904 42631648 50154880 53289560 58931984 62615233 73664980 85263296 100309760 106579120 117863968 125230466 147329960 170526592 200619520 213158240 235727936 250460932 294659920 313076165 341053184 426316480 471455872 500921864 589319840 626152330 682106368 852632960 942911744 1001843728 1178639680 1252304660 1705265920 1885823488 2003687456 2357279360 2504609320 3410531840 4007374912 4714558720 5009218640 8014749824 9429117440 10018437280 16029499648 20036874560 32058999296 40073749120 80147498240 160294996480