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4957504566 = 237534614831
BaseRepresentation
bin1001001110111110…
…11000010000110110
3110210111102022210020
410213133120100312
540123110121231
62135532310010
7233565044040
oct44737302066
913714368706
104957504566
112114422613
12b64312306
13610100271
1435059ca90
151e0360396
hex1277d8436

4957504566 has 64 divisors (see below), whose sum is σ = 11572678656. Its totient is φ = 1386403200.

The previous prime is 4957504561. The next prime is 4957504577. The reversal of 4957504566 is 6654057594.

It is a super-3 number, since 3×49575045663 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957504561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1023771 + ... + 1028601.

It is an arithmetic number, because the mean of its divisors is an integer number (180823104).

Almost surely, 24957504566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4957504566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786339328).

4957504566 is an abundant number, since it is smaller than the sum of its proper divisors (6615174090).

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

4957504566 is a wasteful number, since it uses less digits than its factorization.

4957504566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357.

The product of its (nonzero) digits is 4536000, while the sum is 51.

The square root of 4957504566 is about 70409.5488268459. The cubic root of 4957504566 is about 1705.1177458150.

The spelling of 4957504566 in words is "four billion, nine hundred fifty-seven million, five hundred four thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 461 742 922 1113 1383 2226 2766 3227 4831 6454 9662 9681 14493 19362 24433 28986 33817 48866 67634 73299 101451 146598 171031 202902 256043 342062 512086 513093 768129 1026186 1536258 1792301 2227091 3584602 4454182 5376903 6681273 10753806 13362546 15589637 31179274 46768911 93537822 118035823 236071646 354107469 708214938 826250761 1652501522 2478752283 4957504566