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5012004200 = 2352721274027
BaseRepresentation
bin1001010101011110…
…10001110101101000
3110221021222012020012
410222233101311220
540231033113300
62145200351052
7235126222100
oct45257216550
913837865205
105012004200
112142166a35
12b7a615488
1361b4a2778
14357908200
151e5028435
hex12abd1d68

5012004200 has 144 divisors (see below), whose sum is σ = 13665553920. Its totient is φ = 1704447360.

The previous prime is 5012004197. The next prime is 5012004229. The reversal of 5012004200 is 24002105.

It is a super-2 number, since 2×50120042002 = 50240372201635280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 35 ways as a sum of consecutive naturals, for example, 1242587 + ... + 1246613.

It is an arithmetic number, because the mean of its divisors is an integer number (94899680).

Almost surely, 25012004200 is an apocalyptic number.

5012004200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5012004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832776960).

5012004200 is an abundant number, since it is smaller than the sum of its proper divisors (8653549720).

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

5012004200 is a wasteful number, since it uses less digits than its factorization.

5012004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5012004200 is about 70795.5097446159. The cubic root of 5012004200 is about 1711.3433125349.

Adding to 5012004200 its reverse (24002105), we get a palindrome (5036006305).

The spelling of 5012004200 in words is "five billion, twelve million, four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 127 140 175 196 200 245 254 280 350 392 490 508 635 700 889 980 1016 1225 1270 1400 1778 1960 2450 2540 3175 3556 4027 4445 4900 5080 6223 6350 7112 8054 8890 9800 12446 12700 16108 17780 20135 22225 24892 25400 28189 31115 32216 35560 40270 44450 49784 56378 62230 80540 88900 100675 112756 124460 140945 155575 161080 177800 197323 201350 225512 248920 281890 311150 394646 402700 511429 563780 622300 704725 789292 805400 986615 1022858 1127560 1244600 1409450 1578584 1973230 2045716 2557145 2818900 3580003 3946460 4091432 4933075 5114290 5637800 7160006 7892920 9866150 10228580 12785725 14320012 17900015 19732300 20457160 25060021 25571450 28640024 35800030 39464600 50120042 51142900 71600060 89500075 100240084 102285800 125300105 143200120 179000150 200480168 250600210 358000300 501200420 626500525 716000600 1002400840 1253001050 2506002100 5012004200