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58321052640 = 2532540500731
BaseRepresentation
bin110110010100001101…
…001010001111100000
312120112111100102221200
4312110031022033200
51423420142141030
642443050321200
74133151524304
oct662415121740
9176474312850
1058321052640
1122808794064
12b377729200
135665972206
142b738cbd04
1517b515bd60
hexd9434a3e0

58321052640 has 72 divisors (see below), whose sum is σ = 199020597048. Its totient is φ = 15552280320.

The previous prime is 58321052639. The next prime is 58321052719. The reversal of 58321052640 is 4625012385.

58321052640 is a `hidden beast` number, since 5 + 8 + 3 + 2 + 1 + 0 + 5 + 2 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58321052595 and 58321052604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20248926 + ... + 20251805.

It is an arithmetic number, because the mean of its divisors is an integer number (2764174959).

Almost surely, 258321052640 is an apocalyptic number.

It is an amenable number.

58321052640 is an abundant number, since it is smaller than the sum of its proper divisors (140699544408).

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

58321052640 is a wasteful number, since it uses less digits than its factorization.

58321052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40500752 (or 40500741 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 58321052640 in words is "fifty-eight billion, three hundred twenty-one million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 40500731 81001462 121502193 162002924 202503655 243004386 324005848 364506579 405007310 486008772 607510965 648011696 729013158 810014620 972017544 1215021930 1296023392 1458026316 1620029240 1822532895 1944035088 2430043860 2916052632 3240058480 3645065790 3888070176 4860087720 5832105264 6480116960 7290131580 9720175440 11664210528 14580263160 19440350880 29160526320 58321052640