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480700611881 = 723110714811997
BaseRepresentation
bin1101111111010111111…
…11010011110100101001
31200221202212000012210222
412333223333103310221
530333433324040011
61004455242215425
746505131532600
oct6775377236451
91627685005728
10480700611881
11175955a66566
12791b57b4575
1336439967ba9
14193a1dd4a37
15c78665addb
hex6febfd3d29

480700611881 has 48 divisors (see below), whose sum is σ = 583300403712. Its totient is φ = 394546924800.

The previous prime is 480700611803. The next prime is 480700611883. The reversal of 480700611881 is 188116007084.

It is not a de Polignac number, because 480700611881 - 214 = 480700595497 is a prime.

It is a super-3 number, since 3×4807006118813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480700611883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240710375 + ... + 240712371.

It is an arithmetic number, because the mean of its divisors is an integer number (12152091744).

Almost surely, 2480700611881 is an apocalyptic number.

It is an amenable number.

480700611881 is a deficient number, since it is larger than the sum of its proper divisors (102599791831).

480700611881 is a wasteful number, since it uses less digits than its factorization.

480700611881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 44.

The spelling of 480700611881 in words is "four hundred eighty billion, seven hundred million, six hundred eleven thousand, eight hundred eighty-one".

Divisors: 1 7 31 49 107 217 749 1481 1519 1997 3317 5243 10367 13979 23219 45911 61907 72569 97853 158467 162533 213679 321377 433349 1109269 1495753 2249639 2957557 3033443 4912477 6624049 7764883 10470271 20702899 34387339 46368343 91684267 144920293 240711373 316458599 324578401 641789869 2215210193 4492529083 9810216569 15506471351 68671515983 480700611881