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14680813347468 = 2234139325979513
BaseRepresentation
bin1101010110100010010010…
…1010100010001010001100
31220222110202010100102020000
43111220210222202022030
53411012301204104333
651120134511524300
73043440145334442
oct325504452421214
956873663312200
1014680813347468
114750109452254
1217912a6829690
13826519390548
1438a7ab4ccb92
151a6d3584b713
hexd5a24aa228c

14680813347468 has 60 divisors (see below), whose sum is σ = 38654650770120. Its totient is φ = 4858398646848.

The previous prime is 14680813347463. The next prime is 14680813347469. The reversal of 14680813347468 is 86474331808641.

14680813347468 is a `hidden beast` number, since 1 + 4 + 6 + 80 + 81 + 3 + 3 + 474 + 6 + 8 = 666.

It is a super-2 number, since 2×146808133474682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14680813347463) 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, 162944721 + ... + 163034792.

It is an arithmetic number, because the mean of its divisors is an integer number (644244179502).

Almost surely, 214680813347468 is an apocalyptic number.

14680813347468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14680813347468 is an abundant number, since it is smaller than the sum of its proper divisors (23973837422652).

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

14680813347468 is a wasteful number, since it uses less digits than its factorization.

14680813347468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325979668 (or 325979657 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 14680813347468 in words is "fourteen trillion, six hundred eighty billion, eight hundred thirteen million, three hundred forty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 278 324 417 556 834 1251 1668 2502 3753 5004 7506 11259 15012 22518 45036 325979513 651959026 977938539 1303918052 1955877078 2933815617 3911754156 5867631234 8801446851 11735262468 17602893702 26404340553 35205787404 45311152307 52808681106 90622304614 105617362212 135933456921 181244609228 271866913842 407800370763 543733827684 815600741526 1223401112289 1631201483052 2446802224578 3670203336867 4893604449156 7340406673734 14680813347468