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5067853812 = 2232731921601
BaseRepresentation
bin1001011100001000…
…10100111111110100
3111002012001122111100
410232010110333310
540334332310222
62154513410100
7236405022000
oct45604247764
914065048440
105067853812
11217074263a
12b95269930
13629c28588
143610c5700
151e9dab4ac
hex12e114ff4

5067853812 has 144 divisors (see below), whose sum is σ = 15726256000. Its totient is φ = 1371686400.

The previous prime is 5067853807. The next prime is 5067853829. The reversal of 5067853812 is 2183587605.

5067853812 is a `hidden beast` number, since 50 + 67 + 8 + 538 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223812 + ... + 245412.

Almost surely, 25067853812 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 5067853812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863128000).

5067853812 is an abundant number, since it is smaller than the sum of its proper divisors (10658402188).

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

5067853812 is a wasteful number, since it uses less digits than its factorization.

5067853812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21651 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5067853812 is about 71188.8601678662. The cubic root of 5067853812 is about 1717.6764429117.

The spelling of 5067853812 in words is "five billion, sixty-seven million, eight hundred fifty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 343 399 441 532 588 684 686 798 882 931 1029 1197 1372 1596 1764 1862 2058 2394 2793 3087 3724 4116 4788 5586 6174 6517 8379 11172 12348 13034 16758 19551 21601 26068 33516 39102 43202 58653 64803 78204 86404 117306 129606 151207 194409 234612 259212 302414 388818 410419 453621 604828 777636 820838 907242 1058449 1231257 1360863 1641676 1814484 2116898 2462514 2721726 2872933 3175347 3693771 4233796 4925028 5443452 5745866 6350694 7387542 7409143 8618799 9526041 11491732 12701388 14775084 14818286 17237598 19052082 20110531 22227429 25856397 29636572 34475196 38104164 40221062 44454858 51712794 60331593 66682287 80442124 88909716 103425588 120663186 133364574 140773717 180994779 241326372 266729148 281547434 361989558 422321151 563094868 723979116 844642302 1266963453 1689284604 2533926906 5067853812