Search a number
-
+
117673361312 = 2513762137117
BaseRepresentation
bin110110110010111100…
…0001111111110100000
3102020201212012010020012
41231211320033332200
53411443340030222
6130020340304052
711334025032143
oct1554570177640
9366655163205
10117673361312
11459a55aa031
121a9806a2028
13b1341761a0
1459a434205a
1530daac11e2
hex1b65e0ffa0

117673361312 has 48 divisors (see below), whose sum is σ = 249529615272. Its totient is φ = 54302192640.

The previous prime is 117673361291. The next prime is 117673361341. The reversal of 117673361312 is 213163376711.

It can be written as a sum of positive squares in 4 ways, for example, as 105679607056 + 11993754256 = 325084^2 + 109516^2 .

It is a super-3 number, since 3×1176733613123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 117673361312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3151778 + ... + 3188894.

Almost surely, 2117673361312 is an apocalyptic number.

It is an amenable number.

117673361312 is an abundant number, since it is smaller than the sum of its proper divisors (131856253960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117673361312 is a wasteful number, since it uses less digits than its factorization.

117673361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44761 (or 44753 counting only the distinct ones).

The product of its digits is 95256, while the sum is 41.

The spelling of 117673361312 in words is "one hundred seventeen billion, six hundred seventy-three million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 7621 15242 30484 37117 60968 74234 99073 121936 148468 198146 243872 296936 396292 482521 593872 792584 965042 1187744 1585168 1930084 3170336 3860168 7720336 15440672 282868657 565737314 1131474628 2262949256 3677292541 4525898512 7354585082 9051797024 14709170164 29418340328 58836680656 117673361312