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542045552310 = 232513952382847
BaseRepresentation
bin1111110001101000110…
…11101011111010110110
31220211010002100001222200
413320310123223322312
532340102130133220
61053002353205330
754106252113453
oct7706433537266
91824102301880
10542045552310
11199975646239
1289075b60846
133c164c36502
141c34134682a
15e176ec9890
hex7e346ebeb6

542045552310 has 96 divisors (see below), whose sum is σ = 1422188651520. Its totient is φ = 143229466944.

The previous prime is 542045552299. The next prime is 542045552327. The reversal of 542045552310 is 13255540245.

542045552310 is a `hidden beast` number, since 54 + 2 + 0 + 45 + 552 + 3 + 10 = 666.

It is a super-2 number, since 2×5420455523102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6501307 + ... + 6584153.

It is an arithmetic number, because the mean of its divisors is an integer number (14814465120).

Almost surely, 2542045552310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542045552310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711094325760).

542045552310 is an abundant number, since it is smaller than the sum of its proper divisors (880143099210).

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

542045552310 is a wasteful number, since it uses less digits than its factorization.

542045552310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83522 (or 83519 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 542045552310 in words is "five hundred forty-two billion, forty-five million, five hundred fifty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 523 695 834 1046 1251 1390 1569 2085 2502 2615 3138 4170 4707 5230 6255 7845 9414 12510 15690 23535 47070 72697 82847 145394 165694 218091 248541 363485 414235 436182 497082 654273 726970 745623 828470 1090455 1242705 1308546 1491246 2180910 2485410 3271365 3728115 6542730 7456230 11515733 23031466 34547199 43328981 57578665 69094398 86657962 103641597 115157330 129986943 172735995 207283194 216644905 259973886 345471990 389960829 433289810 518207985 649934715 779921658 1036415970 1299869430 1949804145 3899608290 6022728359 12045456718 18068185077 30113641795 36136370154 54204555231 60227283590 90340925385 108409110462 180681850770 271022776155 542045552310