Search a number
-
+
13952181360 = 2435134471853
BaseRepresentation
bin11001111111001110…
…10110010001110000
31100000100111020201210
430333213112101300
5212033224300420
610224243400120
71002514404405
oct147747262160
940010436653
1013952181360
115a0a7083a7
122854683040
131414738620
14964dca2ac
15569d399e0
hex33f9d6470

13952181360 has 80 divisors (see below), whose sum is σ = 46578831264. Its totient is φ = 3434382336.

The previous prime is 13952181293. The next prime is 13952181379. The reversal of 13952181360 is 6318125931.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2232807 + ... + 2239046.

Almost surely, 213952181360 is an apocalyptic number.

13952181360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13952181360 is an abundant number, since it is smaller than the sum of its proper divisors (32626649904).

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

13952181360 is a wasteful number, since it uses less digits than its factorization.

13952181360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471882 (or 4471876 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 13952181360 in words is "thirteen billion, nine hundred fifty-two million, one hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4471853 8943706 13415559 17887412 22359265 26831118 35774824 44718530 53662236 58134089 67077795 71549648 89437060 107324472 116268178 134155590 174402267 178874120 214648944 232536356 268311180 290670445 348804534 357748240 465072712 536622360 581340890 697609068 872011335 930145424 1073244720 1162681780 1395218136 1744022670 2325363560 2790436272 3488045340 4650727120 6976090680 13952181360