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117541778541243 = 37378315671163119
BaseRepresentation
bin11010101110011101010011…
…111101001100101010111011
3120102011212212122102021011020
4122232131103331030222323
5110401301030301304433
61053553540403433523
733521053563431610
oct3256352375145273
9512155778367136
10117541778541243
11344a8208751371
12112244739858a3
1350781b0415a74
1421050a3c56507
15d8c7e8746cb3
hex6ae753f4cabb

117541778541243 has 64 divisors (see below), whose sum is σ = 186287383511040. Its totient is φ = 64522789322112.

The previous prime is 117541778541221. The next prime is 117541778541263. The reversal of 117541778541243 is 342145877145711.

It is a happy number.

It is not a de Polignac number, because 117541778541243 - 216 = 117541778475707 is a prime.

It is a super-2 number, since 2×1175417785412432 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117541778541263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100475838 + ... + 101638956.

It is an arithmetic number, because the mean of its divisors is an integer number (2910740367360).

Almost surely, 2117541778541243 is an apocalyptic number.

117541778541243 is a deficient number, since it is larger than the sum of its proper divisors (68745604969797).

117541778541243 is a wasteful number, since it uses less digits than its factorization.

117541778541243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164816.

The product of its digits is 26342400, while the sum is 60.

The spelling of 117541778541243 in words is "one hundred seventeen trillion, five hundred forty-one billion, seven hundred seventy-eight million, five hundred forty-one thousand, two hundred forty-three".

Divisors: 1 3 7 21 37 83 111 249 259 581 777 1567 1743 3071 4701 9213 10969 21497 32907 57979 64491 130061 173937 390183 405853 910427 1163119 1217559 2731281 3489357 4812257 8141833 14436771 24425499 33685799 43035403 96538877 101057397 129106209 289616631 301247821 675772139 903743463 1822607473 2027316417 3571938449 5467822419 10715815347 12758252311 25003569143 38274756933 67436476501 75010707429 151276420259 202309429503 453829260777 472055335507 1058934941813 1416166006521 3176804825439 5597227549583 16791682648749 39180592847081 117541778541243