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542253437184 = 28353109122219
BaseRepresentation
bin1111110010000001101…
…00101101000100000000
31220211122120111201102110
413321000310231010000
532341013334442214
61053035141015320
754114355111014
oct7710064550400
91824576451373
10542253437184
11199a71a24218
12891136b4540
133c199021704
141c360bbc544
15e18a390159
hex7e40d2d100

542253437184 has 144 divisors (see below), whose sum is σ = 1483917019200. Its totient is φ = 175712329728.

The previous prime is 542253437179. The next prime is 542253437197. The reversal of 542253437184 is 481734352245.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4375627 + ... + 4497845.

It is an arithmetic number, because the mean of its divisors is an integer number (10304979300).

Almost surely, 2542253437184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542253437184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741958509600).

542253437184 is an abundant number, since it is smaller than the sum of its proper divisors (941663582016).

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

542253437184 is a wasteful number, since it uses less digits than its factorization.

542253437184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122400 (or 122386 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The spelling of 542253437184 in words is "five hundred forty-two billion, two hundred fifty-three million, four hundred thirty-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 109 128 159 192 212 218 256 318 327 384 424 436 636 654 768 848 872 1272 1308 1696 1744 2544 2616 3392 3488 5088 5232 5777 6784 6976 10176 10464 11554 13568 13952 17331 20352 20928 23108 27904 34662 40704 41856 46216 69324 83712 92432 122219 138648 184864 244438 277296 366657 369728 488876 554592 733314 739456 977752 1109184 1466628 1478912 1955504 2218368 2933256 3911008 4436736 5866512 6477607 7822016 11733024 12955214 13321871 15644032 19432821 23466048 25910428 26643742 31288064 38865642 39965613 46932096 51820856 53287484 77731284 79931226 93864192 103641712 106574968 155462568 159862452 207283424 213149936 310925136 319724904 414566848 426299872 621850272 639449808 706059163 829133696 852599744 1243700544 1278899616 1412118326 1658267392 1705199488 2118177489 2487401088 2557799232 2824236652 3410398976 4236354978 4974802176 5115598464 5648473304 8472709956 10231196928 11296946608 16945419912 22593893216 33890839824 45187786432 67781679648 90375572864 135563359296 180751145728 271126718592 542253437184