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196860177691969 = 112929213732
BaseRepresentation
bin101100110000101100010100…
…111101100011010101000001
3221211000122112021000120221011
4230300230110331203111001
5201300324120442120334
61534404152300400521
756315451502124461
oct5460542475432501
9854018467016834
10196860177691969
11577a8a2919a100
121a0b49a3246141
1385acab194348c
143688124d55ba1
1517b5bb9528564
hexb30b14f63541

196860177691969 has 27 divisors (see below), whose sum is σ = 216774556493929. Its totient is φ = 178640951793920.

The previous prime is 196860177691951. The next prime is 196860177691993. The reversal of 196860177691969 is 969196771068691.

The square root of 196860177691969 is 14030687.

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 192874680625 + 196667303011344 = 439175^2 + 14023812^2 .

It is not a de Polignac number, because 196860177691969 - 217 = 196860177560897 is a prime.

It is a super-2 number, since 2×1968601776919692 (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 (196860177691169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143379589767 + ... + 143379591139.

Almost surely, 2196860177691969 is an apocalyptic number.

196860177691969 is the 14030687-th square number.

196860177691969 is the 7015344-th centered octagonal number.

It is an amenable number.

196860177691969 is a deficient number, since it is larger than the sum of its proper divisors (19914378801960).

196860177691969 is an frugal number, since it uses more digits than its factorization.

196860177691969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 3333197952, while the sum is 85.

The spelling of 196860177691969 in words is "one hundred ninety-six trillion, eight hundred sixty billion, one hundred seventy-seven million, six hundred ninety-one thousand, nine hundred sixty-nine".

Divisors: 1 11 121 929 1373 10219 15103 112409 166133 863041 1275517 1885129 9493451 14030687 20736419 104427961 154337557 228100609 1184955293 1751284841 13034508223 19264133251 143379590453 211905465761 1626943617289 17896379790179 196860177691969