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5412716820 = 2232577395813
BaseRepresentation
bin1010000101001111…
…11000000100010100
3111222012222111121100
411002213320010110
542041123414240
62253033150100
7251063222340
oct50247700424
914865874540
105412716820
112328379295
12107085b330
13683503524
14394c16620
1521a2cce30
hex1429f8114

5412716820 has 144 divisors (see below), whose sum is σ = 18792708480. Its totient is φ = 1235305728.

The previous prime is 5412716809. The next prime is 5412716821. The reversal of 5412716820 is 286172145.

5412716820 is a `hidden beast` number, since 541 + 27 + 16 + 82 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5412716821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928234 + ... + 934046.

It is an arithmetic number, because the mean of its divisors is an integer number (130504920).

Almost surely, 25412716820 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 5412716820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396354240).

5412716820 is an abundant number, since it is smaller than the sum of its proper divisors (13379991660).

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

5412716820 is a wasteful number, since it uses less digits than its factorization.

5412716820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5412716820 is about 73571.1684017591. The cubic root of 5412716820 is about 1755.7867561201.

Adding to 5412716820 its reverse (286172145), we get a palindrome (5698888965).

The spelling of 5412716820 in words is "five billion, four hundred twelve million, seven hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 739 1260 1478 2217 2956 3695 4434 5173 5813 6651 7390 8868 10346 11085 11626 13302 14780 15519 17439 20692 22170 23252 25865 26604 29065 31038 33255 34878 40691 44340 46557 51730 52317 58130 62076 66510 69756 77595 81382 87195 93114 103460 104634 116260 122073 133020 155190 162764 174390 186228 203455 209268 232785 244146 261585 310380 348780 366219 406910 465570 488292 523170 610365 732438 813820 931140 1046340 1220730 1464876 1831095 2441460 3662190 4295807 7324380 8591614 12887421 17183228 21479035 25774842 30070649 38662263 42958070 51549684 60141298 64437105 77324526 85916140 90211947 120282596 128874210 150353245 154649052 180423894 193311315 257748420 270635841 300706490 360847788 386622630 451059735 541271682 601412980 773245260 902119470 1082543364 1353179205 1804238940 2706358410 5412716820