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522340116608 = 2712725032
BaseRepresentation
bin1111001100111011110…
…01011010100010000000
31211221020210002012222202
413212131321122202000
532024223032212413
61035543145252332
752511034506552
oct7463571324200
91757223065882
10522340116608
11191583418792
12852967940a8
133a3445a549b
141b3d221b4d2
15d8c2046e58
hex799de5a880

522340116608 has 72 divisors (see below), whose sum is σ = 1050947014455. Its totient is φ = 258598464768.

The previous prime is 522340116601. The next prime is 522340116643. The reversal of 522340116608 is 806611043225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 261170058304 + 261170058304 = 511048^2 + 511048^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=511048.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (522340116601) 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 8 ways as a sum of consecutive naturals, for example, 1038449285 + ... + 1038449787.

Almost surely, 2522340116608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522340116608

522340116608 is an abundant number, since it is smaller than the sum of its proper divisors (528606897847).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

522340116608 is an frugal number, since it uses more digits than its factorization.

522340116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 522340116608 in words is "five hundred twenty-two billion, three hundred forty million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 503 508 1006 1016 2012 2032 4024 4064 8048 8128 16096 16129 16256 32192 32258 63881 64384 64516 127762 129032 253009 255524 258064 506018 511048 516128 1012036 1022096 1032256 2024072 2044192 2064512 4048144 4088384 8096288 8112887 8176768 16192576 16225774 32132143 32385152 32451548 64264286 64903096 128528572 129806192 257057144 259612384 514114288 519224768 1028228576 1038449536 2056457152 4080782161 4112914304 8161564322 16323128644 32646257288 65292514576 130585029152 261170058304 522340116608