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58604912604 = 223275315129059
BaseRepresentation
bin110110100101000111…
…111111111111011100
312121021021111000121200
4312211013333333130
51430010324200404
642531150355500
74143166352340
oct664507777734
9177237430550
1058604912604
1122943a44277
12b4367bbb90
1356ac70b7a4
142b9d49d620
1517d002d839
hexda51fffdc

58604912604 has 144 divisors (see below), whose sum is σ = 173645821440. Its totient is φ = 16318972800.

The previous prime is 58604912603. The next prime is 58604912647. The reversal of 58604912604 is 40621940685.

58604912604 is a `hidden beast` number, since 586 + 0 + 4 + 9 + 1 + 2 + 60 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 58604912604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58604912603) 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, 2002227 + ... + 2031285.

It is an arithmetic number, because the mean of its divisors is an integer number (1205873760).

Almost surely, 258604912604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58604912604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86822910720).

58604912604 is an abundant number, since it is smaller than the sum of its proper divisors (115040908836).

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

58604912604 is a wasteful number, since it uses less digits than its factorization.

58604912604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29280 (or 29275 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 58604912604 in words is "fifty-eight billion, six hundred four million, nine hundred twelve thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 151 159 212 252 302 318 371 453 477 604 636 742 906 954 1057 1113 1359 1484 1812 1908 2114 2226 2718 3171 3339 4228 4452 5436 6342 6678 8003 9513 12684 13356 16006 19026 24009 29059 32012 38052 48018 56021 58118 72027 87177 96036 112042 116236 144054 168063 174354 203413 224084 261531 288108 336126 348708 406826 504189 523062 610239 672252 813652 1008378 1046124 1220478 1540127 1830717 2016756 2440956 3080254 3661434 4387909 4620381 6160508 7322868 8775818 9240762 10780889 13163727 13861143 17551636 18481524 21561778 26327454 27722286 30715363 32342667 39491181 43123556 52654908 55444572 61430726 64685334 78982362 92146089 97028001 122861452 129370668 157964724 184292178 194056002 232559177 276438267 368584356 388112004 465118354 552876534 697677531 930236708 1105753068 1395355062 1627914239 2093032593 2790710124 3255828478 4186065186 4883742717 6511656956 8372130372 9767485434 14651228151 19534970868 29302456302 58604912604