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506054143727 = 113147139227159
BaseRepresentation
bin1110101110100110010…
…11010110111011101111
31210101012210011002010222
413113103023112323233
531242344330044402
61024251132321555
751363331151216
oct7272313267357
91711183132128
10506054143727
1118568640a270
12820b06132bb
133894a4c3042
141a6c92c807d
15d26c3b37a2
hex75d32d6eef

506054143727 has 32 divisors (see below), whose sum is σ = 586181836800. Its totient is φ = 432599695200.

The previous prime is 506054143711. The next prime is 506054143729. The reversal of 506054143727 is 727341450605.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 506054143727 - 24 = 506054143711 is a prime.

It is a super-3 number, since 3×5060541437273 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506054143729) 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, 2114174 + ... + 2341332.

It is an arithmetic number, because the mean of its divisors is an integer number (18318182400).

Almost surely, 2506054143727 is an apocalyptic number.

506054143727 is a deficient number, since it is larger than the sum of its proper divisors (80127693073).

506054143727 is a wasteful number, since it uses less digits than its factorization.

506054143727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227387.

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 506054143727 in words is "five hundred six billion, fifty-four million, one hundred forty-three thousand, seven hundred twenty-seven".

Divisors: 1 11 31 47 139 341 517 1457 1529 4309 6533 16027 47399 71863 202523 227159 2227753 2498749 7041929 10676473 31575101 77461219 117441203 330970663 347326111 978828131 1484029747 3640677293 10767109441 16324327217 46004922157 506054143727