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522157416440471 = 72328311460119317
BaseRepresentation
bin111011010111001100011111…
…1010100101110001010010111
32112110210202120010200201122022
41312232120333110232022113
51021420011342102043341
65050311450001323355
7214661425355242340
oct16656307724561227
92473722503621568
10522157416440471
11141414797a68289
124a69173233655b
1319548305140946
1492d27a78b90c7
1540577a54b9e4b
hex1dae63f52e297

522157416440471 has 16 divisors (see below), whose sum is σ = 624897386171904. Its totient is φ = 426591481418784.

The previous prime is 522157416440437. The next prime is 522157416440533. The reversal of 522157416440471 is 174044614751225.

It is a cyclic number.

It is not a de Polignac number, because 522157416440471 - 222 = 522157412246167 is a prime.

It is a super-3 number, since 3×5221574164404713 (a number of 45 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 (522157416440411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5730014096 + ... + 5730105221.

It is an arithmetic number, because the mean of its divisors is an integer number (39056086635744).

Almost surely, 2522157416440471 is an apocalyptic number.

522157416440471 is a deficient number, since it is larger than the sum of its proper divisors (102739969731433).

522157416440471 is a wasteful number, since it uses less digits than its factorization.

522157416440471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11460119630.

The product of its (nonzero) digits is 7526400, while the sum is 53.

The spelling of 522157416440471 in words is "five hundred twenty-two trillion, one hundred fifty-seven billion, four hundred sixteen million, four hundred forty thousand, four hundred seventy-one".

Divisors: 1 7 23 161 283 1981 6509 45563 11460119317 80220835219 263582744291 1845079210037 3243213766711 22702496366977 74593916634353 522157416440471