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14796608516496 = 2436356172
BaseRepresentation
bin1101011101010001101010…
…0110000011000110010000
31221101112122002101111000000
43113110122212003012100
53414411423240011441
651245245040130000
73055006516125432
oct327243246030620
957345562344000
1014796608516496
11479522a840654
1217ab822306900
1383441139a041
14392234202652
151a9d615bb2b6
hexd751a983190

14796608516496 has 105 divisors (see below), whose sum is σ = 42984187500081. Its totient is φ = 4932064359936.

The previous prime is 14796608516467. The next prime is 14796608516513. The reversal of 14796608516496 is 69461580669741.

It is a happy number.

The square root of 14796608516496 is 3846636.

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

14796608516496 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 6 + 60 + 8 + 516 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5394192051600 + 9402416464896 = 2322540^2 + 3066336^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 415418880 + ... + 415454496.

Almost surely, 214796608516496 is an apocalyptic number.

14796608516496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14796608516496 is the 3846636-th square number.

It is an amenable number.

14796608516496 is an abundant number, since it is smaller than the sum of its proper divisors (28187578983585).

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

14796608516496 is an frugal number, since it uses more digits than its factorization.

14796608516496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71260 (or 35622 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 14796608516496 in words is "fourteen trillion, seven hundred ninety-six billion, six hundred eight million, five hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 35617 71234 106851 142468 213702 284936 320553 427404 569872 641106 854808 961659 1282212 1709616 1923318 2564424 2884977 3846636 5128848 5769954 7693272 8654931 11539908 15386544 17309862 23079816 25964793 34619724 46159632 51929586 69239448 103859172 138478896 207718344 415436688 1268570689 2537141378 3805712067 5074282756 7611424134 10148565512 11417136201 15222848268 20297131024 22834272402 30445696536 34251408603 45668544804 60891393072 68502817206 91337089608 102754225809 137005634412 182674179216 205508451618 274011268824 308262677427 411016903236 548022537648 616525354854 822033806472 924788032281 1233050709708 1644067612944 1849576064562 2466101419416 3699152129124 4932202838832 7398304258248 14796608516496