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540065251050 = 2352131741159079
BaseRepresentation
bin1111101101111100110…
…01011011111011101010
31220122000002001100100120
413312332121123323222
532322023201013200
61052034052344110
754006214614423
oct7667631337352
91818002040316
10540065251050
11199049833626
1288802915036
133bc0a898410
141c1d433864a
15e0ad2089a0
hex7dbe65beea

540065251050 has 96 divisors (see below), whose sum is σ = 1443227210880. Its totient is φ = 132861945600.

The previous prime is 540065251031. The next prime is 540065251051. The reversal of 540065251050 is 50152560045.

It is a super-2 number, since 2×5400652510502 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540065251051) 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, 3315411 + ... + 3474489.

It is an arithmetic number, because the mean of its divisors is an integer number (15033616780).

Almost surely, 2540065251050 is an apocalyptic number.

540065251050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540065251050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721613605440).

540065251050 is an abundant number, since it is smaller than the sum of its proper divisors (903161959830).

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

540065251050 is a wasteful number, since it uses less digits than its factorization.

540065251050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160848 (or 160843 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 540065251050 in words is "five hundred forty billion, sixty-five million, two hundred fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1741 1950 3482 5223 8705 10446 17410 22633 26115 43525 45266 52230 67899 87050 113165 130575 135798 159079 226330 261150 318158 339495 477237 565825 678990 795395 954474 1131650 1590790 1697475 2068027 2386185 3394950 3976975 4136054 4772370 6204081 7953950 10340135 11930925 12408162 20680270 23861850 31020405 51700675 62040810 103401350 155102025 276956539 310204050 553913078 830869617 1384782695 1661739234 2769565390 3600435007 4154348085 6923913475 7200870014 8308696170 10801305021 13847826950 18002175035 20771740425 21602610042 36004350070 41543480850 54006525105 90010875175 108013050210 180021750350 270032625525 540065251050