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5200053131214 = 23219311879326099
BaseRepresentation
bin100101110101011101101…
…0100011101011111001110
3200102010020122101011020100
41023222323110131133032
51140144202100144324
615020512121231530
71044456110214504
oct113527324353716
920363218334210
105200053131214
11172536a477a57
126bb97b3325a6
132b94943c6b16
1413d980938674
15903ea68d4c9
hex4babb51d7ce

5200053131214 has 96 divisors (see below), whose sum is σ = 12243464064000. Its totient is φ = 1589004915840.

The previous prime is 5200053131213. The next prime is 5200053131269. The reversal of 5200053131214 is 4121313500025.

5200053131214 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 0 + 531 + 3 + 121 + 4 = 666.

It is a super-2 number, since 2×52000531312142 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200053131213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199230337 + ... + 199256435.

It is an arithmetic number, because the mean of its divisors is an integer number (127536084000).

Almost surely, 25200053131214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200053131214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121732032000).

5200053131214 is an abundant number, since it is smaller than the sum of its proper divisors (7043410932786).

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

5200053131214 is a wasteful number, since it uses less digits than its factorization.

5200053131214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44950 (or 44947 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 5200053131214 its reverse (4121313500025), we get a palindrome (9321366631239).

The spelling of 5200053131214 in words is "five trillion, two hundred billion, fifty-three million, one hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 18793 26099 37586 52198 56379 78297 112758 156594 169137 234891 338274 357067 469782 495881 582583 714134 809069 991762 1071201 1165166 1487643 1618138 1747749 2142402 2427207 2975286 3213603 3495498 4462929 4854414 5243247 6427206 7281621 8925858 10486494 11069077 14563242 15372311 22138154 30744622 33207231 46116933 66414462 92233866 99621693 138350799 199243386 276701598 490478507 980957014 1471435521 2942871042 4414306563 8828613126 9319091633 15204833717 18638183266 27957274899 30409667434 45614501151 55914549798 83871824697 91229002302 136843503453 167743649394 273687006906 288891840623 577783681246 866675521869 1733351043738 2600026565607 5200053131214