Search a number
-
+
180707467463471 = 131729119881235199
BaseRepresentation
bin101001000101101000111100…
…011010000000101100101111
3212200211110120010000101202202
4221011220330122000230233
5142141202343132312341
61440155510422212115
753030453334430634
oct5105507432005457
9780743503011682
10180707467463471
1152640674392823
121832639928403b
1379aa844550720
14328a40675018b
1515d5938b6779b
hexa45a3c680b2f

180707467463471 has 32 divisors (see below), whose sum is σ = 213163622784000. Its totient is φ = 151579202826240.

The previous prime is 180707467463423. The next prime is 180707467463503. The reversal of 180707467463471 is 174364764707081.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 180707467463471 - 234 = 180690287594287 is a prime.

It is a super-3 number, since 3×1807074674634713 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180707467463398 and 180707467463407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180707467463071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768199730 + ... + 768434928.

It is an arithmetic number, because the mean of its divisors is an integer number (6661363212000).

Almost surely, 2180707467463471 is an apocalyptic number.

180707467463471 is a deficient number, since it is larger than the sum of its proper divisors (32456155320529).

180707467463471 is a wasteful number, since it uses less digits than its factorization.

180707467463471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355139.

The product of its (nonzero) digits is 132765696, while the sum is 65.

The spelling of 180707467463471 in words is "one hundred eighty trillion, seven hundred seven billion, four hundred sixty-seven million, four hundred sixty-three thousand, four hundred seventy-one".

Divisors: 1 13 17 29 221 377 493 6409 119881 235199 1558453 2037977 3057587 3476549 3998383 6820771 26493701 45195137 51978979 59101333 88670023 115953107 768317329 1507390391 28195891319 366546587147 479330152423 817680848251 6231291981499 10629851027263 13900574420267 180707467463471