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128275720336 = 241722322292
BaseRepresentation
bin111011101110111010…
…1000010100010010000
3110021002202101202121001
41313131311002202100
54100202041022321
6134532401511344
712160535426641
oct1673565024220
9407082352531
10128275720336
114a446333315
1220a3b342554
13c1338a6bca
1462cc4a36c8
15350b7b5c91
hex1dddd42890

128275720336 has 135 divisors (see below), whose sum is σ = 277202258571. Its totient is φ = 57488335872.

The previous prime is 128275720303. The next prime is 128275720403. The reversal of 128275720336 is 633027572821.

The square root of 128275720336 is 358156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68027072400 + 60248647936 = 260820^2 + 245456^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 560155870 + ... + 560156098.

Almost surely, 2128275720336 is an apocalyptic number.

128275720336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128275720336 is the 358156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128275720336

128275720336 is an abundant number, since it is smaller than the sum of its proper divisors (148926538235).

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

128275720336 is an equidigital number, since it uses as much as digits as its factorization.

128275720336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 128275720336 in words is "one hundred twenty-eight billion, two hundred seventy-five million, seven hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 229 272 289 368 391 458 529 578 782 916 1058 1156 1564 1832 2116 2312 3128 3664 3893 4232 4624 5267 6256 6647 7786 8464 8993 10534 13294 15572 17986 21068 26588 31144 35972 42136 52441 53176 62288 66181 71944 84272 89539 104882 106352 121141 132362 143888 152881 179078 209764 242282 264724 305762 358156 419528 484564 529448 611524 716312 839056 891497 969128 1058896 1206143 1223048 1432624 1522163 1782994 1938256 2059397 2412286 2446096 3044326 3565988 4118794 4824572 6088652 7131976 8237588 9649144 12177304 14263952 15155449 16475176 19298288 20504431 24354608 27741289 30310898 32950352 35009749 41008862 55482578 60621796 70019498 82017724 110965156 121243592 140038996 164035448 221930312 242487184 280077992 328070896 348575327 443860624 471601913 560155984 697150654 943203826 1394301308 1886407652 2788602616 3772815304 5577205232 7545630608 8017232521 16034465042 32068930084 64137860168 128275720336