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14266180096 = 29719383547
BaseRepresentation
bin11010100100101010…
…01010001000000000
31100211020100001000121
431102111022020000
5213204120230341
610315341430024
71013346346540
oct152225121000
940736301017
1014266180096
116060983293
12292186b314
1314647c80ac
149949a5320
155876b14d1
hex35254a200

14266180096 has 160 divisors (see below), whose sum is σ = 34443509760. Its totient is φ = 5766598656.

The previous prime is 14266180081. The next prime is 14266180147. The reversal of 14266180096 is 69008166241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26080495 + ... + 26081041.

It is an arithmetic number, because the mean of its divisors is an integer number (215271936).

Almost surely, 214266180096 is an apocalyptic number.

14266180096 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 14266180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221754880).

14266180096 is an abundant number, since it is smaller than the sum of its proper divisors (20177329664).

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

14266180096 is an equidigital number, since it uses as much as digits as its factorization.

14266180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 14266180096 in words is "fourteen billion, two hundred sixty-six million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 383 448 512 532 547 608 766 896 1064 1094 1216 1532 1792 2128 2188 2432 2681 3064 3584 3829 4256 4376 4864 5362 6128 7277 7658 8512 8752 9728 10393 10724 12256 14554 15316 17024 17504 20786 21448 24512 29108 30632 34048 35008 41572 42896 49024 50939 58216 61264 68096 70016 72751 83144 85792 98048 101878 116432 122528 140032 145502 166288 171584 196096 203756 209501 232864 245056 280064 291004 332576 343168 407512 419002 465728 490112 582008 665152 686336 815024 838004 931456 980224 1164016 1330304 1372672 1466507 1630048 1676008 1862912 1960448 2328032 2660608 2933014 3260096 3352016 3725824 3980519 4656064 5321216 5866028 6520192 6704032 7961038 9312128 11732056 13040384 13408064 15922076 18624256 23464112 26080768 26816128 27863633 31844152 37248512 46928224 53632256 55727266 63688304 93856448 107264512 111454532 127376608 187712896 222909064 254753216 375425792 445818128 509506432 750851584 891636256 1019012864 1783272512 2038025728 3566545024 7133090048 14266180096