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540007461904 = 241837132
BaseRepresentation
bin1111101101110101111…
…00111111010000010000
31220121212001022100112211
413312322330333100100
532321413402240104
61052024230001504
754004613456101
oct7667274772020
91817761270484
10540007461904
1119901a1527a9
12887a74a6294
133bbcb913861
141c1ca7b43a8
15e0a80e0e04
hex7dbaf3f410

540007461904 has 15 divisors (see below), whose sum is σ = 1046270152573. Its totient is φ = 270002261248.

The previous prime is 540007461883. The next prime is 540007461911. The reversal of 540007461904 is 409164700045.

The square root of 540007461904 is 734852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 533805584400 + 6201877504 = 730620^2 + 78752^2 .

It is a super-2 number, since 2×5400074619042 (a number of 24 digits) contains 22 as substring.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 2847552 + ... + 3031264.

Almost surely, 2540007461904 is an apocalyptic number.

540007461904 is the 734852-nd square number.

It is an amenable number.

540007461904 is a deficient number, since it is larger than the sum of its proper divisors (506262690669).

540007461904 is an frugal number, since it uses more digits than its factorization.

540007461904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367434 (or 183715 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 540007461904 in words is "five hundred forty billion, seven million, four hundred sixty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 183713 367426 734852 1469704 2939408 33750466369 67500932738 135001865476 270003730952 540007461904