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117464538361 = 3725921572
BaseRepresentation
bin110110101100101101…
…1101001110011111001
3102020012022020210222211
41231121123221303321
53411031410211421
6125543520415121
711325611046652
oct1553133516371
9366168223884
10117464538361
11458a8740285
121a9227774a1
13b0ccb20001
145984704529
1530c75c29e1
hex1b596e9cf9

117464538361 has 27 divisors (see below), whose sum is σ = 123593112909. Its totient is φ = 111637083168.

The previous prime is 117464538329. The next prime is 117464538377. The reversal of 117464538361 is 163835464711.

It is a happy number.

The square root of 117464538361 is 342731.

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 6735320761 + 110729217600 = 82069^2 + 332760^2 .

It is not a de Polignac number, because 117464538361 - 25 = 117464538329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117464538311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 748181695 + ... + 748181851.

Almost surely, 2117464538361 is an apocalyptic number.

117464538361 is the 342731-st square number.

117464538361 is the 171366-th centered octagonal number.

It is an amenable number.

117464538361 is a deficient number, since it is larger than the sum of its proper divisors (6128574548).

117464538361 is an frugal number, since it uses more digits than its factorization.

117464538361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 117464538361 by its sum of digits (49), we get a square (5755762379689 = 23991172).

The spelling of 117464538361 in words is "one hundred seventeen billion, four hundred sixty-four million, five hundred thirty-eight thousand, three hundred sixty-one".

Divisors: 1 37 59 157 1369 2183 3481 5809 9263 24649 80771 128797 214933 342731 546517 912013 1454291 4765489 12681047 20221129 33744481 53808767 85803169 748181773 1990924379 3174717253 117464538361