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5374422100 = 22522959101311
BaseRepresentation
bin1010000000101011…
…10010110001010100
3111212112220221010101
411000111302301110
542001323001400
62245144303444
7250116556045
oct50025626124
914775827111
105374422100
1123087a2963
12105ba71b84
136785b5c28
1438dac88cc
15216c6656a
hex140572c54

5374422100 has 144 divisors (see below), whose sum is σ = 12430454400. Its totient is φ = 2013760000.

The previous prime is 5374422091. The next prime is 5374422139. The reversal of 5374422100 is 12244735.

It is a congruent number.

It is an unprimeable number.

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, 17280945 + ... + 17281255.

It is an arithmetic number, because the mean of its divisors is an integer number (86322600).

Almost surely, 25374422100 is an apocalyptic number.

5374422100 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 5374422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215227200).

5374422100 is an abundant number, since it is smaller than the sum of its proper divisors (7056032300).

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

5374422100 is a wasteful number, since it uses less digits than its factorization.

5374422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5374422100 is about 73310.4501418454. The cubic root of 5374422100 is about 1751.6362492227.

Adding to 5374422100 its reverse (12244735), we get a palindrome (5386666835).

The spelling of 5374422100 in words is "five billion, three hundred seventy-four million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 59 100 101 116 118 145 202 236 290 295 311 404 505 580 590 622 725 1010 1180 1244 1450 1475 1555 1711 2020 2525 2900 2929 2950 3110 3422 5050 5858 5900 5959 6220 6844 7775 8555 9019 10100 11716 11918 14645 15550 17110 18038 18349 23836 29290 29795 31100 31411 34220 36076 36698 42775 45095 58580 59590 62822 73225 73396 85550 90190 91745 119180 125644 146450 148975 157055 171100 172811 180380 183490 225475 292900 297950 314110 345622 366980 450950 458725 532121 595900 628220 691244 785275 864055 901900 910919 917450 1064242 1570550 1728110 1821838 1834900 1853249 2128484 2660605 3141100 3456220 3643676 3706498 4320275 4554595 5321210 7412996 8640550 9109190 9266245 10642420 13303025 17281100 18218380 18532490 22772975 26606050 37064980 45545950 46331225 53212100 53744221 91091900 92662450 107488442 185324900 214976884 268721105 537442210 1074884420 1343605525 2687211050 5374422100