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113780963577856 = 2121666692
BaseRepresentation
bin11001110111101110110001…
…111010101001000000000000
3112220212100112222120100121211
4121313232301322221000000
5104403141403133442411
61041554130355055504
732652255226615651
oct3167566172510000
9486770488510554
10113780963577856
1133288265748983
121091761a5a1594
134b64663bca0c3
142015056c63528
15d24a85db7221
hex677bb1ea9000

113780963577856 has 39 divisors (see below), whose sum is σ = 227535513794121. Its totient is φ = 56890140450816.

The previous prime is 113780963577851. The next prime is 113780963577917. The reversal of 113780963577856 is 658775369087311.

The square root of 113780963577856 is 10666816.

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., 72311485075456 + 41469478502400 = 8503616^2 + 6439680^2 .

It is a super-2 number, since 2×1137809635778562 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113780963577851) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 682592890 + ... + 682759558.

It is an arithmetic number, because the mean of its divisors is an integer number (5834243943439).

Almost surely, 2113780963577856 is an apocalyptic number.

113780963577856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113780963577856 is the 10666816-th square number.

It is an amenable number.

113780963577856 is a deficient number, since it is larger than the sum of its proper divisors (113754550216265).

113780963577856 is an frugal number, since it uses more digits than its factorization.

113780963577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333362 (or 166671 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 76.

The spelling of 113780963577856 in words is "one hundred thirteen trillion, seven hundred eighty billion, nine hundred sixty-three million, five hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 166669 333338 666676 1333352 2666704 5333408 10666816 21333632 42667264 85334528 170669056 341338112 682676224 27778555561 55557111122 111114222244 222228444488 444456888976 888913777952 1777827555904 3555655111808 7111310223616 14222620447232 28445240894464 56890481788928 113780963577856