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191434757640025 = 5223452312
BaseRepresentation
bin101011100001101111100000…
…101110100000111101011001
3221002210222120102000122202211
4223201233200232200331121
5200042431340423440100
61515051525155555121
755215463516441564
oct5341574056407531
9832728512018684
10191434757640025
1155aa702aaa2a59
1219579408bbbaa1
1382a82b2995133
14353b6c535d4db
15171e9cd9161ba
hexae1be0ba0f59

191434757640025 has 45 divisors (see below), whose sum is σ = 248216471036863. Its totient is φ = 146461201792400.

The previous prime is 191434757639999. The next prime is 191434757640043. The reversal of 191434757640025 is 520046757434191.

The square root of 191434757640025 is 13835995.

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., 68916512750409 + 122518244889616 = 8301597^2 + 11068796^2 .

It is not a de Polignac number, because 191434757640025 - 215 = 191434757607257 is a prime.

It is a super-2 number, since 2×1914347576400252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36596204160 + ... + 36596209390.

Almost surely, 2191434757640025 is an apocalyptic number.

191434757640025 is the 13835995-th square number.

191434757640025 is the 6917998-th centered octagonal number.

It is an amenable number.

191434757640025 is a deficient number, since it is larger than the sum of its proper divisors (56781713396838).

191434757640025 is an frugal number, since it uses more digits than its factorization.

191434757640025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 191434757640025 in words is "one hundred ninety-one trillion, four hundred thirty-four billion, seven hundred fifty-seven million, six hundred forty thousand, twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 5231 12167 13225 26155 60835 120313 130775 279841 304175 601565 1399205 2767199 3007825 6996025 13835995 27363361 63645577 69179975 136816805 318227885 629357303 684084025 1463848271 1591139425 3146786515 7319241355 14475217969 15733932575 36596206775 72376089845 332930013287 361880449225 1664650066435 7657390305601 8323250332175 38286951528005 191434757640025