Search a number
-
+
5011166500 = 225317837103
BaseRepresentation
bin1001010101011000…
…00101010100100100
3110221020101122010021
410222230011110210
540230324312000
62145130404524
7235116132604
oct45254052444
913836348107
105011166500
11214174461a
12b7a290744
1361b26b3a2
1435776ac04
151e4e1011a
hex12ab05524

5011166500 has 96 divisors (see below), whose sum is σ = 11729442816. Its totient is φ = 1863564800.

The previous prime is 5011166491. The next prime is 5011166509. The reversal of 5011166500 is 56611105.

It is an interprime number because it is at equal distance from previous prime (5011166491) and next prime (5011166509).

It is a super-2 number, since 2×50111665002 = 50223579381444500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5011166509) 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 31 ways as a sum of consecutive naturals, for example, 701949 + ... + 709051.

It is an arithmetic number, because the mean of its divisors is an integer number (122181696).

Almost surely, 25011166500 is an apocalyptic number.

5011166500 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 5011166500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864721408).

5011166500 is an abundant number, since it is smaller than the sum of its proper divisors (6718276316).

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

5011166500 is a wasteful number, since it uses less digits than its factorization.

5011166500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 5011166500 is about 70789.5931617070. The cubic root of 5011166500 is about 1711.2479633084.

Adding to 5011166500 its reverse (56611105), we get a palindrome (5067777605).

It can be divided in two parts, 50111 and 66500, that added together give a palindrome (116611).

The spelling of 5011166500 in words is "five billion, eleven million, one hundred sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 83 85 100 125 166 170 250 332 340 415 425 500 830 850 1411 1660 1700 2075 2125 2822 4150 4250 5644 7055 7103 8300 8500 10375 14110 14206 20750 28220 28412 35275 35515 41500 70550 71030 120751 141100 142060 176375 177575 241502 352750 355150 483004 589549 603755 705500 710300 887875 1179098 1207510 1775750 2358196 2415020 2947745 3018775 3551500 5895490 6037550 10022333 11790980 12075100 14738725 15093875 20044666 29477450 30187750 40089332 50111665 58954900 60375500 73693625 100223330 147387250 200446660 250558325 294774500 501116650 1002233300 1252791625 2505583250 5011166500