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5203531564 = 22711174124239
BaseRepresentation
bin1001101100010011…
…11001011100101100
3111102122100210101021
410312021321130230
541124101002224
62220201423524
7242643200650
oct46611713454
914378323337
105203531564
112230292310
12101279aba4
1364c08147a
14375122a60
15206c5c1e4
hex13627972c

5203531564 has 96 divisors (see below), whose sum is σ = 12314695680. Its totient is φ = 1861478400.

The previous prime is 5203531561. The next prime is 5203531579. The reversal of 5203531564 is 4651353025.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5203531561) 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, 202557 + ... + 226795.

It is an arithmetic number, because the mean of its divisors is an integer number (128278080).

Almost surely, 25203531564 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 5203531564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157347840).

5203531564 is an abundant number, since it is smaller than the sum of its proper divisors (7111164116).

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

5203531564 is a wasteful number, since it uses less digits than its factorization.

5203531564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24319 (or 24317 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 5203531564 is about 72135.5083436722. The cubic root of 5203531564 is about 1732.8703243430.

Adding to 5203531564 its reverse (4651353025), we get a palindrome (9854884589).

The spelling of 5203531564 in words is "five billion, two hundred three million, five hundred thirty-one thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 41 44 68 77 82 119 154 164 187 238 287 308 374 451 476 574 697 748 902 1148 1309 1394 1804 2618 2788 3157 4879 5236 6314 7667 9758 12628 15334 19516 24239 30668 48478 53669 96956 107338 169673 214676 266629 339346 412063 533258 678692 824126 993799 1066516 1648252 1866403 1987598 2884441 3732806 3975196 4532693 5768882 6956593 7465612 9065386 10931789 11537764 13913186 16894583 18130772 21863578 27826372 31728851 33789166 43727156 63457702 67578332 76522523 118262081 126915404 153045046 185840413 236524162 306090092 371680826 473048324 743361652 1300882891 2601765782 5203531564