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5016212460 = 22325716192459
BaseRepresentation
bin1001010101111110…
…10101001111101100
3110221120212222212200
410222333111033230
540233122244320
62145430501500
7235210050060
oct45277251754
913846788780
105016212460
112144580736
12b7bb04890
1361c31706c
143582c1aa0
151e55aa290
hex12afd53ec

5016212460 has 144 divisors (see below), whose sum is σ = 17407353600. Its totient is φ = 1145388672.

The previous prime is 5016212441. The next prime is 5016212483. The reversal of 5016212460 is 642126105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2038711 + ... + 2041169.

It is an arithmetic number, because the mean of its divisors is an integer number (120884400).

Almost surely, 25016212460 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 5016212460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703676800).

5016212460 is an abundant number, since it is smaller than the sum of its proper divisors (12391141140).

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

5016212460 is a wasteful number, since it uses less digits than its factorization.

5016212460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5016212460 is about 70825.2247437310. The cubic root of 5016212460 is about 1711.8221471246.

Adding to 5016212460 its reverse (642126105), we get a palindrome (5658338565).

The spelling of 5016212460 in words is "five billion, sixteen million, two hundred twelve thousand, four hundred sixty".

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 1260 1619 2459 3238 4857 4918 6476 7377 8095 9714 9836 11333 12295 14571 14754 16190 17213 19428 22131 22666 24285 24590 29142 29508 32380 33999 34426 36885 44262 45332 48570 49180 51639 56665 58284 67998 68852 72855 73770 86065 88524 97140 101997 103278 110655 113330 135996 145710 147540 154917 169995 172130 203994 206556 221310 226660 258195 291420 309834 339990 344260 407988 442620 509985 516390 619668 679980 774585 1019970 1032780 1549170 2039940 3098340 3981121 7962242 11943363 15924484 19905605 23886726 27867847 35830089 39811210 47773452 55735694 59716815 71660178 79622420 83603541 111471388 119433630 139339235 143320356 167207082 179150445 238867260 250810623 278678470 334414164 358300890 418017705 501621246 557356940 716601780 836035410 1003242492 1254053115 1672070820 2508106230 5016212460