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540525001060 = 2251129251337537
BaseRepresentation
bin1111101110110011100…
…11001111100101100100
31220200012010011001210201
413313121303033211210
532323443400013220
61052151434400244
754023466462442
oct7673163174544
91820163131721
10540525001060
111992652a9610
1288910890084
133bc81bc9c45
141c239413b92
15e0d8770d0a
hex7dd9ccf964

540525001060 has 96 divisors (see below), whose sum is σ = 1286100789120. Its totient is φ = 189020160000.

The previous prime is 540525001033. The next prime is 540525001061. The reversal of 540525001060 is 60100525045.

It is a super-2 number, since 2×5405250010602 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540525001061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432612 + ... + 1770148.

It is an arithmetic number, because the mean of its divisors is an integer number (13396883220).

Almost surely, 2540525001060 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 540525001060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643050394560).

540525001060 is an abundant number, since it is smaller than the sum of its proper divisors (745575788060).

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

540525001060 is a wasteful number, since it uses less digits than its factorization.

540525001060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337837 (or 337835 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 540525001060 in words is "five hundred forty billion, five hundred twenty-five million, one thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 251 290 319 502 580 638 1004 1255 1276 1595 2510 2761 3190 5020 5522 6380 7279 11044 13805 14558 27610 29116 36395 55220 72790 80069 145580 160138 320276 337537 400345 675074 800690 1350148 1601380 1687685 3375370 3712907 6750740 7425814 9788573 14851628 18564535 19577146 37129070 39154292 48942865 74258140 84721787 97885730 107674303 169443574 195771460 215348606 338887148 423608935 430697212 538371515 847217870 931939657 1076743030 1694435740 1863879314 2153486060 2456931823 3727758628 4659698285 4913863646 9319396570 9827727292 12284659115 18638793140 24569318230 27026250053 49138636460 54052500106 108105000212 135131250265 270262500530 540525001060