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19930117347856 = 24192587412
BaseRepresentation
bin1001000100000010101111…
…00100001001101000010000
32121120022010010220221210001
410202001113210021220100
510103013340020112411
6110215434114215344
74124621613206152
oct442012744115020
977508103827701
1019930117347856
116394351736171
12229a70bb84554
13b1752c2750b1
144cc8a1070ad2
15248664c04dc1
hex122057909a10

19930117347856 has 45 divisors (see below), whose sum is σ = 40754609313453. Its totient is φ = 9440421186240.

The previous prime is 19930117347841. The next prime is 19930117347883. The reversal of 19930117347856 is 65874371103991.

The square root of 19930117347856 is 4464316.

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

It can be written as a sum of positive squares in only one way, i.e., 5012601565456 + 14917515782400 = 2238884^2 + 3862320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 339258646 + ... + 339317386.

Almost surely, 219930117347856 is an apocalyptic number.

19930117347856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19930117347856 is the 4464316-th square number.

It is an amenable number.

19930117347856 is an abundant number, since it is smaller than the sum of its proper divisors (20824491965597).

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

19930117347856 is an frugal number, since it uses more digits than its factorization.

19930117347856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117528 (or 58762 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

The spelling of 19930117347856 in words is "nineteen trillion, nine hundred thirty billion, one hundred seventeen million, three hundred forty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 58741 117482 234964 469928 939856 1116079 2232158 4464316 8928632 17857264 21205501 42411002 84822004 169644008 339288016 3450505081 6901010162 13802020324 27604040648 55208081296 65559596539 131119193078 262238386156 524476772312 1048953544624 1245632334241 2491264668482 4982529336964 9965058673928 19930117347856