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3935799693225 = 325219269612
BaseRepresentation
bin111001010001011111111…
…100010100111110101001
3111221020222122111012111100
4321101133330110332221
51003441004210140400
612212025330352013
7554231533256061
oct71213774247651
914836878435440
103935799693225
1112881883589a4
1253694b42b609
132271b50b602a
14d86caab43a1
156c5a4b17100
hex3945ff14fa9

3935799693225 has 81 divisors (see below), whose sum is σ = 7441075027269. Its totient is φ = 1988328902400.

The previous prime is 3935799693211. The next prime is 3935799693247. The reversal of 3935799693225 is 5223969975393.

The square root of 3935799693225 is 1983885.

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

3935799693225 is a `hidden beast` number, since 393 + 5 + 7 + 9 + 9 + 6 + 9 + 3 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99105965721 + 3836693727504 = 314811^2 + 1958748^2 .

It is not a de Polignac number, because 3935799693225 - 213 = 3935799685033 is a prime.

It is a super-2 number, since 2×39357996932252 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 565403745 + ... + 565410705.

Almost surely, 23935799693225 is an apocalyptic number.

3935799693225 is the 1983885-th square number.

3935799693225 is the 991943-rd centered octagonal number.

It is an amenable number.

3935799693225 is a deficient number, since it is larger than the sum of its proper divisors (3505275334044).

3935799693225 is an frugal number, since it uses more digits than its factorization.

3935799693225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13976 (or 6988 counting only the distinct ones).

The product of its digits is 744017400, while the sum is 72.

The spelling of 3935799693225 in words is "three trillion, nine hundred thirty-five billion, seven hundred ninety-nine million, six hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1805 3249 4275 5415 6961 9025 16245 20883 27075 34805 62649 81225 104415 132259 174025 313245 396777 522075 661295 1190331 1566225 1983885 2512921 3306475 5951655 7538763 9919425 12564605 22616289 29758275 37693815 48455521 62823025 113081445 145366563 188469075 242277605 436099689 565407225 726832815 920654899 1211388025 2180498445 2761964697 3634164075 4603274495 8285894091 10902492225 13809823485 17492443081 23016372475 41429470455 52477329243 69049117425 87462215405 157431987729 207147352275 262386646215 437311077025 787159938645 1311933231075 3935799693225