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517875972496 = 241799092
BaseRepresentation
bin1111000100100111101…
…00000011100110010000
31211111201200000012111221
413202103310003212100
531441102222104441
61033524155214424
752262310064261
oct7422364034620
91744650005457
10517875972496
1118a6a2538193
128444b747414
1339ab27741ac
141b0cb3a6968
15d71018c8d1
hex7893d03990

517875972496 has 15 divisors (see below), whose sum is σ = 1003390273921. Its totient is φ = 258936546976.

The previous prime is 517875972473. The next prime is 517875972529. The reversal of 517875972496 is 694279578715.

The square root of 517875972496 is 719636.

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., 217308874896 + 300567097600 = 466164^2 + 548240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2788590 + ... + 2968498.

Almost surely, 2517875972496 is an apocalyptic number.

517875972496 is the 719636-th square number.

It is an amenable number.

517875972496 is a deficient number, since it is larger than the sum of its proper divisors (485514301425).

517875972496 is an frugal number, since it uses more digits than its factorization.

517875972496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359826 (or 179911 counting only the distinct ones).

The product of its digits is 266716800, while the sum is 70.

The spelling of 517875972496 in words is "five hundred seventeen billion, eight hundred seventy-five million, nine hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 179909 359818 719636 1439272 2878544 32367248281 64734496562 129468993124 258937986248 517875972496