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13995248256 = 273311368141
BaseRepresentation
bin11010000100010111…
…01000101010000000
31100010100112021102000
431002023220222000
5212130240421011
610232422424000
71003546435023
oct150213505200
940110467360
1013995248256
115a31a53180
122866b92000
1314206370b2
1496a9db1ba
1556d9e5356
hex3422e8a80

13995248256 has 128 divisors (see below), whose sum is σ = 45060580800. Its totient is φ = 4240972800.

The previous prime is 13995248203. The next prime is 13995248263. The reversal of 13995248256 is 65284259931.

13995248256 is a `hidden beast` number, since 1 + 3 + 99 + 524 + 8 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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, 146055 + ... + 222086.

Almost surely, 213995248256 is an apocalyptic number.

13995248256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13995248256 is an abundant number, since it is smaller than the sum of its proper divisors (31065332544).

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

13995248256 is a wasteful number, since it uses less digits than its factorization.

13995248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368175 (or 368157 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 13995248256 in words is "thirteen billion, nine hundred ninety-five million, two hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 368141 736282 1104423 1472564 2208846 2945128 3313269 4049551 4417692 5890256 6626538 8099102 8835384 9939807 11780512 12148653 13253076 16198204 17670768 19879614 23561024 24297306 26506152 32396408 35341536 36445959 39759228 47122048 48594612 53012304 64792816 70683072 72891918 79518456 97189224 106024608 109337877 129585632 141366144 145783836 159036912 194378448 212049216 218675754 259171264 291567672 318073824 388756896 424098432 437351508 518342528 583135344 636147648 777513792 874703016 1166270688 1272295296 1555027584 1749406032 2332541376 3498812064 4665082752 6997624128 13995248256