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19662014350969 = 292107214292
BaseRepresentation
bin1000111100001111010110…
…11000011000011001111001
32120121200002120211120110121
410132013223120120121321
510034120301133212334
6105452334340413241
74066351021300624
oct436075330303171
976550076746417
1019662014350969
1162a0682571471
1222567689a7221
13ac8173833033
144bd90a2a0dbb
152416c2989db4
hex11e1eb618679

19662014350969 has 27 divisors (see below), whose sum is σ = 20569879476237. Its totient is φ = 18793432498848.

The previous prime is 19662014350873. The next prime is 19662014351003. The reversal of 19662014350969 is 96905341026691.

The square root of 19662014350969 is 4434187.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4492547310969 + 15169467040000 = 2119563^2 + 3894800^2 .

It is not a de Polignac number, because 19662014350969 - 225 = 19661980796537 is a prime.

It is a super-2 number, since 2×196620143509692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19662012350969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13759281547 + ... + 13759282975.

Almost surely, 219662014350969 is an apocalyptic number.

19662014350969 is the 4434187-th square number.

19662014350969 is the 2217094-th centered octagonal number.

It is an amenable number.

19662014350969 is a deficient number, since it is larger than the sum of its proper divisors (907865125268).

19662014350969 is an frugal number, since it uses more digits than its factorization.

19662014350969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 61.

The spelling of 19662014350969 in words is "nineteen trillion, six hundred sixty-two billion, fourteen million, three hundred fifty thousand, nine hundred sixty-nine".

Divisors: 1 29 107 841 1429 3103 11449 41441 89987 152903 332021 1201789 2042041 4434187 9628609 16360621 59219189 128591423 218498387 474458009 1717356481 6336453223 13759282261 23379327409 183757143467 678000494861 19662014350969