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5242011200514 = 2331167157983417
BaseRepresentation
bin100110001001000000000…
…1101110010110000000010
3200120010112202212220212000
41030102000031302300002
51141341114331404024
615052051404244430
71050502632011244
oct114220015626002
920503482786760
105242011200514
111741140733490
12707b2ab40716
132c042003216a
14141a011a8094
1591554003cc9
hex4c480372c02

5242011200514 has 128 divisors (see below), whose sum is σ = 12905899084800. Its totient is φ = 1563769722240.

The previous prime is 5242011200513. The next prime is 5242011200539. The reversal of 5242011200514 is 4150021102425.

It is a happy number.

5242011200514 is a `hidden beast` number, since 5 + 2 + 4 + 20 + 1 + 120 + 0 + 514 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5242011200513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62799334 + ... + 62882750.

It is an arithmetic number, because the mean of its divisors is an integer number (100827336600).

Almost surely, 25242011200514 is an apocalyptic number.

5242011200514 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5242011200514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452949542400).

5242011200514 is an abundant number, since it is smaller than the sum of its proper divisors (7663887884286).

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

5242011200514 is a wasteful number, since it uses less digits than its factorization.

5242011200514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85085 (or 85079 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 5242011200514 its reverse (4150021102425), we get a palindrome (9392032302939).

The spelling of 5242011200514 in words is "five trillion, two hundred forty-two billion, eleven million, two hundred thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 99 134 198 201 297 402 594 603 737 1206 1474 1579 1809 2211 3158 3618 4422 4737 6633 9474 13266 14211 17369 19899 28422 34738 39798 42633 52107 83417 85266 104214 105793 156321 166834 211586 250251 312642 317379 468963 500502 634758 750753 917587 937926 952137 1163723 1501506 1835174 1904274 2252259 2327446 2752761 2856411 3491169 4504518 5505522 5588939 5712822 6982338 8258283 10473507 11177878 16516566 16766817 20947014 24774849 31420521 33533634 49549698 50300451 61478329 62841042 100600902 122956658 131715443 150901353 184434987 263430886 301802706 368869974 395146329 553304961 790292658 1106609922 1185438987 1448869873 1659914883 2370877974 2897739746 3319829766 3556316961 4346609619 7112633922 8693219238 8824934681 13039828857 17649869362 26079657714 26474804043 39119486571 52949608086 78238973142 79424412129 97074281491 158848824258 194148562982 238273236387 291222844473 476546472774 582445688946 873668533419 1747337066838 2621005600257 5242011200514