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14487009408 = 27341782193
BaseRepresentation
bin11010111110111111…
…00011100010000000
31101101121212022220000
431133133203202000
5214132133300113
610353310520000
71022000356014
oct153737434200
941347768800
1014487009408
1161645a2653
122983806000
13149b496121
149b604a544
1559bc82373
hex35f7e3880

14487009408 has 160 divisors (see below), whose sum is σ = 45649725660. Its totient is φ = 4544888832.

The previous prime is 14487009403. The next prime is 14487009457. The reversal of 14487009408 is 80490078441.

It can be written as a sum of positive squares in 2 ways, for example, as 13925888064 + 561121344 = 118008^2 + 23688^2 .

It is not an unprimeable number, because it can be changed into a prime (14487009403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 135160 + ... + 217352.

Almost surely, 214487009408 is an apocalyptic number.

14487009408 is a gapful number since it is divisible by the number (18) 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 14487009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22824862830).

14487009408 is an abundant number, since it is smaller than the sum of its proper divisors (31162716252).

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

14487009408 is an equidigital number, since it uses as much as digits as its factorization.

14487009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82236 (or 82215 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 14487009408 in words is "fourteen billion, four hundred eighty-seven million, nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 82193 88128 164386 176256 246579 328772 493158 657544 739737 986316 1315088 1397281 1479474 1972632 2219211 2630176 2794562 2958948 3945264 4191843 4438422 5260352 5589124 5917896 6657633 7890528 8383686 8876844 10520704 11178248 11835792 12575529 13315266 15781056 16767372 17753688 22356496 23671584 25151058 26630532 31562112 33534744 35507376 37726587 44712992 47343168 50302116 53261064 67069488 71014752 75453174 89425984 94686336 100604232 106522128 113179761 134138976 142029504 150906348 178851968 201208464 213044256 226359522 268277952 284059008 301812696 402416928 426088512 452719044 536555904 603625392 804833856 852177024 905438088 1207250784 1609667712 1810876176 2414501568 3621752352 4829003136 7243504704 14487009408