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117206946025 = 521322322292
BaseRepresentation
bin110110100101000010…
…1000001000011101001
3102012112100112202201221
41231022011001003221
53410014434233100
6125502155342041
711316332413621
oct1551205010351
9365470482657
10117206946025
11457862a1354
121a870451921
13b08b64c900
14595c40d881
1530aeb8e01a
hex1b4a1410e9

117206946025 has 81 divisors (see below), whose sum is σ = 165237828399. Its totient is φ = 82428128640.

The previous prime is 117206946011. The next prime is 117206946061. The reversal of 117206946025 is 520649602711.

The square root of 117206946025 is 342355.

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

It can be written as a sum of positive squares in 13 ways, for example, as 60034310361 + 57172635664 = 245019^2 + 239108^2 .

It is not a de Polignac number, because 117206946025 - 25 = 117206945993 is a prime.

It is a Duffinian 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, 511820611 + ... + 511820839.

Almost surely, 2117206946025 is an apocalyptic number.

117206946025 is the 342355-th square number.

117206946025 is the 171178-th centered octagonal number.

It is an amenable number.

117206946025 is a deficient number, since it is larger than the sum of its proper divisors (48030882374).

117206946025 is an equidigital number, since it uses as much as digits as its factorization.

117206946025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 117206946025 in words is "one hundred seventeen billion, two hundred six million, nine hundred forty-six thousand, twenty-five".

Divisors: 1 5 13 23 25 65 115 169 229 299 325 529 575 845 1145 1495 2645 2977 3887 4225 5267 5725 6877 7475 13225 14885 19435 26335 34385 38701 52441 68471 74425 89401 97175 121141 131675 171925 193505 262205 342355 447005 605705 681733 890123 967525 1206143 1311025 1574833 1711775 2235025 3028525 3408665 4450615 6030715 7874165 8862529 15679859 17043325 20472829 22253075 27741289 30153575 39370825 44312645 78399295 102364145 138706445 203838167 221563225 360636757 391996475 511820725 693532225 1019190835 1803183785 4688277841 5095954175 9015918925 23441389205 117206946025