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539432960521 = 7413211532
BaseRepresentation
bin1111101100110001011…
…01011100001000001001
31220120101000021122210211
413312120231130020021
532314224314214041
61051451224241121
753654436340000
oct7663055341011
91816330248724
10539432960521
11198854930374
12886670101a1
133bb398a5100
141c174387c37
15e07295d481
hex7d98b5c209

539432960521 has 45 divisors (see below), whose sum is σ = 682023974229. Its totient is φ = 426433932288.

The previous prime is 539432960513. The next prime is 539432960537. The reversal of 539432960521 is 125069234935.

It is a happy number.

The square root of 539432960521 is 734461.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3521116921 + 535911843600 = 59339^2 + 732060^2 .

It is not a de Polignac number, because 539432960521 - 23 = 539432960513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (539432963521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 467851081 + ... + 467852233.

Almost surely, 2539432960521 is an apocalyptic number.

539432960521 is the 734461-st square number.

539432960521 is the 367231-st centered octagonal number.

It is an amenable number.

539432960521 is a deficient number, since it is larger than the sum of its proper divisors (142591013708).

539432960521 is an frugal number, since it uses more digits than its factorization.

539432960521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

Multiplying 539432960521 by its sum of digits (49), we get a square (26432215065529 = 51412272).

539432960521 divided by its sum of digits (49) gives a square (11008835929 = 1049232).

The spelling of 539432960521 in words is "five hundred thirty-nine billion, four hundred thirty-two million, nine hundred sixty thousand, five hundred twenty-one".

Divisors: 1 7 13 49 91 169 343 637 1153 1183 2401 4459 8071 8281 14989 31213 56497 57967 104923 194857 395479 405769 734461 1329409 1363999 2768353 5141227 9305863 9547993 17282317 35988589 65141041 66835951 120976219 224670121 455987287 467851657 846833533 1572690847 3191911009 5927834731 11008835929 41494843117 77061851503 539432960521