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540232513652 = 2213174114905433
BaseRepresentation
bin1111101110010000101…
…11011111100001110100
31220122102201210011111202
413313020113133201310
532322344010414102
61052102425352032
754013315412456
oct7671027374164
91818381704452
10540232513652
11199125196487
128884a938618
133bc3642c780
141c20c6382d6
15e0bcc47e02
hex7dc85df874

540232513652 has 48 divisors (see below), whose sum is σ = 1104313794192. Its totient is φ = 228947435520.

The previous prime is 540232513609. The next prime is 540232513687. The reversal of 540232513652 is 256315232045.

It can be written as a sum of positive squares in 8 ways, for example, as 110153627236 + 430078886416 = 331894^2 + 655804^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7416473 + ... + 7488960.

It is an arithmetic number, because the mean of its divisors is an integer number (23006537379).

Almost surely, 2540232513652 is an apocalyptic number.

540232513652 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

540232513652 is an abundant number, since it is smaller than the sum of its proper divisors (564081280540).

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

540232513652 is a wasteful number, since it uses less digits than its factorization.

540232513652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14905508 (or 14905506 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 540232513652 its reverse (256315232045), we get a palindrome (796547745697).

The spelling of 540232513652 in words is "five hundred forty billion, two hundred thirty-two million, five hundred thirteen thousand, six hundred fifty-two".

Divisors: 1 2 4 13 17 26 34 41 52 68 82 164 221 442 533 697 884 1066 1394 2132 2788 9061 18122 36244 14905433 29810866 59621732 193770629 253392361 387541258 506784722 611122753 775082516 1013569444 1222245506 2444491012 3294100693 6588201386 7944595789 10389086801 13176402772 15889191578 20778173602 31778383156 41556347204 135058128413 270116256826 540232513652