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117442604601 = 3272163192
BaseRepresentation
bin110110101100000011…
…1111110111000111001
3102020010202222110112100
41231120013332320321
53411010301321401
6125541414334013
711325223445100
oct1553007767071
9366122873470
10117442604601
114589731a103
121a91735a309
13b0c841065a
145981835037
1530c56ddb86
hex1b581fee39

117442604601 has 27 divisors (see below), whose sum is σ = 197347626021. Its totient is φ = 67105947384.

The previous prime is 117442604581. The next prime is 117442604659. The reversal of 117442604601 is 106406244711.

It is a happy number.

The square root of 117442604601 is 342699.

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

117442604601 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 42 + 6 + 0 + 4 + 601 = 666.

It is not a de Polignac number, because 117442604601 - 29 = 117442604089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117442602601) 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, 7188520 + ... + 7204838.

Almost surely, 2117442604601 is an apocalyptic number.

117442604601 is the 342699-th square number.

117442604601 is the 171350-th centered octagonal number.

It is an amenable number.

117442604601 is a deficient number, since it is larger than the sum of its proper divisors (79905021420).

117442604601 is an frugal number, since it uses more digits than its factorization.

117442604601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32658 (or 16329 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 117442604601 by its sum of digits (36), we get a square (4227933765636 = 20561942).

The spelling of 117442604601 in words is "one hundred seventeen billion, four hundred forty-two million, six hundred four thousand, six hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 16319 48957 114233 146871 342699 799631 1028097 2398893 7196679 266309761 798929283 1864168327 2396787849 5592504981 13049178289 16777514943 39147534867 117442604601