Search a number
-
+
117684754272 = 25321471277789
BaseRepresentation
bin110110110011010001…
…1101101011101100000
3102020202122121221102200
41231212203231131200
53412004244114042
6130021424413200
711334223622601
oct1554643553540
9366678557380
10117684754272
1145a00a807a8
121a984477200
13b136634a97
1459a5a69da8
1530dbac1c4c
hex1b668ed760

117684754272 has 72 divisors (see below), whose sum is σ = 334894734720. Its totient is φ = 39201442560.

The previous prime is 117684754267. The next prime is 117684754273. The reversal of 117684754272 is 272457486711.

117684754272 is a `hidden beast` number, since 1 + 1 + 7 + 68 + 475 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1176847542722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117684754273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284754 + ... + 562542.

It is an arithmetic number, because the mean of its divisors is an integer number (4651315760).

Almost surely, 2117684754272 is an apocalyptic number.

117684754272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117684754272 is an abundant number, since it is smaller than the sum of its proper divisors (217209980448).

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

117684754272 is a wasteful number, since it uses less digits than its factorization.

117684754272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279276 (or 279265 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 117684754272 in words is "one hundred seventeen billion, six hundred eighty-four million, seven hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1471 2942 4413 5884 8826 11768 13239 17652 23536 26478 35304 47072 52956 70608 105912 141216 211824 277789 423648 555578 833367 1111156 1666734 2222312 2500101 3333468 4444624 5000202 6666936 8889248 10000404 13333872 20000808 26667744 40001616 80003232 408627619 817255238 1225882857 1634510476 2451765714 3269020952 3677648571 4903531428 6538041904 7355297142 9807062856 13076083808 14710594284 19614125712 29421188568 39228251424 58842377136 117684754272