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5021071400 = 2352733311039
BaseRepresentation
bin1001010110100011…
…10111100000101000
3110221221000212002102
410223101313200220
540240343241100
62150122552532
7235266255062
oct45321674050
913857025072
105021071400
11214729a294
12b81668748
13620328887
14358bc8732
151e5c19cd5
hex12b477828

5021071400 has 96 divisors (see below), whose sum is σ = 11881084800. Its totient is φ = 1973030400.

The previous prime is 5021071399. The next prime is 5021071403. The reversal of 5021071400 is 41701205.

It is a super-2 number, since 2×50210714002 = 50422316007795920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5021071403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4832081 + ... + 4833119.

It is an arithmetic number, because the mean of its divisors is an integer number (123761300).

Almost surely, 25021071400 is an apocalyptic number.

5021071400 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 5021071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940542400).

5021071400 is an abundant number, since it is smaller than the sum of its proper divisors (6860013400).

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

5021071400 is a wasteful number, since it uses less digits than its factorization.

5021071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 5021071400 is about 70859.5187677704. The cubic root of 5021071400 is about 1712.3746859836.

Adding to 5021071400 its reverse (41701205), we get a palindrome (5062772605).

The spelling of 5021071400 in words is "five billion, twenty-one million, seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 331 365 584 662 730 1039 1324 1460 1655 1825 2078 2648 2920 3310 3650 4156 5195 6620 7300 8275 8312 10390 13240 14600 16550 20780 24163 25975 33100 41560 48326 51950 66200 75847 96652 103900 120815 151694 193304 207800 241630 303388 343909 379235 483260 604075 606776 687818 758470 966520 1208150 1375636 1516940 1719545 1896175 2416300 2751272 3033880 3439090 3792350 4832600 6878180 7584700 8597725 13756360 15169400 17195450 25105357 34390900 50210714 68781800 100421428 125526785 200842856 251053570 502107140 627633925 1004214280 1255267850 2510535700 5021071400