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14104526976 = 27336760913
BaseRepresentation
bin11010010001011001…
…00000000010000000
31100101222011012122000
431020230200002000
5212341224330401
610251324544000
71006344333621
oct151054400200
940358135560
1014104526976
115a88701971
1228976b2000
13143a179067
1497b325a48
155783ce186
hex348b20080

14104526976 has 128 divisors (see below), whose sum is σ = 42249950400. Its totient is φ = 4631261184.

The previous prime is 14104526929. The next prime is 14104526977. The reversal of 14104526976 is 67962540141.

14104526976 is a `hidden beast` number, since 14 + 104 + 526 + 9 + 7 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14104526977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201096 + ... + 262008.

Almost surely, 214104526976 is an apocalyptic number.

14104526976 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 14104526976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21124975200).

14104526976 is an abundant number, since it is smaller than the sum of its proper divisors (28145423424).

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

14104526976 is an equidigital number, since it uses as much as digits as its factorization.

14104526976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61003 (or 60985 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14104526976 in words is "fourteen billion, one hundred four million, five hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 268 288 384 402 432 536 576 603 804 864 1072 1152 1206 1608 1728 1809 2144 2412 3216 3456 3618 4288 4824 6432 7236 8576 9648 12864 14472 19296 25728 28944 38592 57888 60913 77184 115776 121826 182739 231552 243652 365478 487304 548217 730956 974608 1096434 1461912 1644651 1949216 2192868 2923824 3289302 3898432 4081171 4385736 5847648 6578604 7796864 8162342 8771472 11695296 12243513 13157208 16324684 17542944 23390592 24487026 26314416 32649368 35085888 36730539 48974052 52628832 65298736 70171776 73461078 97948104 105257664 110191617 130597472 146922156 195896208 210515328 220383234 261194944 293844312 391792416 440766468 522389888 587688624 783584832 881532936 1175377248 1567169664 1763065872 2350754496 3526131744 4701508992 7052263488 14104526976