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542253237448 = 231337449313849
BaseRepresentation
bin1111110010000001100…
…11111100010011001000
31220211122120010120102211
413321000303330103020
532341013312044243
61053035132434504
754114353316466
oct7710063742310
91824576116384
10542253237448
11199a718a814a
1289113618a34
133c198c81820
141c360b69836
15e18a350d9d
hex7e40cfc4c8

542253237448 has 64 divisors (see below), whose sum is σ = 1127035350000. Its totient is φ = 242963546112.

The previous prime is 542253237439. The next prime is 542253237451. The reversal of 542253237448 is 844732352245.

It can be written as a sum of positive squares in 8 ways, for example, as 455406326244 + 86846911204 = 674838^2 + 294698^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1570828 + ... + 1884676.

Almost surely, 2542253237448 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 542253237448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563517675000).

542253237448 is an abundant number, since it is smaller than the sum of its proper divisors (584782112552).

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

542253237448 is a wasteful number, since it uses less digits than its factorization.

542253237448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314354 (or 314350 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 49.

The spelling of 542253237448 in words is "five hundred forty-two billion, two hundred fifty-three million, two hundred thirty-seven thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 449 481 898 962 1796 1924 3592 3848 5837 11674 16613 23348 33226 46696 66452 132904 215969 313849 431938 627698 863876 1255396 1727752 2510792 4080037 8160074 11612413 16320148 23224826 32640296 46449652 92899304 140918201 150961369 281836402 301922738 563672804 603845476 1127345608 1207690952 1831936613 3663873226 5213973437 7327746452 10427946874 14655492904 20855893748 41711787496 67781654681 135563309362 271126618724 542253237448