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60412052205 = 345192413201
BaseRepresentation
bin111000010000110101…
…101100001011101101
312202221012221020010000
4320100311230023231
51442210441132310
643430343534513
74236031654041
oct702065541355
9182835836100
1060412052205
1123691034a7a
12b85ba5a439
135909c2b46b
142cd14b4021
1518889e74c0
hexe10d6c2ed

60412052205 has 60 divisors (see below), whose sum is σ = 114294152412. Its totient is φ = 30523910400.

The previous prime is 60412052201. The next prime is 60412052209. The reversal of 60412052205 is 50225021406.

60412052205 is a `hidden beast` number, since 604 + 1 + 2 + 0 + 52 + 2 + 0 + 5 = 666.

60412052205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60412052201) and next prime (60412052209).

It can be written as a sum of positive squares in 2 ways, for example, as 6486852681 + 53925199524 = 80541^2 + 232218^2 .

It is not a de Polignac number, because 60412052205 - 22 = 60412052201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60412052201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 60396 + ... + 352805.

Almost surely, 260412052205 is an apocalyptic number.

It is an amenable number.

60412052205 is a deficient number, since it is larger than the sum of its proper divisors (53882100207).

60412052205 is a wasteful number, since it uses less digits than its factorization.

60412052205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413256 (or 413228 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 60412052205 in words is "sixty billion, four hundred twelve million, fifty-two thousand, two hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 361 405 513 855 1083 1539 1805 2565 3249 5415 7695 9747 16245 29241 48735 146205 413201 1239603 2066005 3718809 6198015 7850819 11156427 18594045 23552457 33469281 39254095 55782135 70657371 117762285 149165561 167346405 211972113 353286855 447496683 635916339 745827805 1059860565 1342490049 2237483415 3179581695 4027470147 6712450245 12082410441 20137350735 60412052205