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6457132152 = 2332433795503
BaseRepresentation
bin1100000001110000…
…00000010001111000
3121200000020022002200
412000320000101320
5101211011212102
62544422430200
7316004501112
oct60070002170
917600208080
106457132152
112813978a59
121302592360
137bb9c1b73
144538063b2
1527bd3451c
hex180e00478

6457132152 has 96 divisors (see below), whose sum is σ = 17945241600. Its totient is φ = 2096394048.

The previous prime is 6457132111. The next prime is 6457132153. The reversal of 6457132152 is 2512317546.

6457132152 is a `hidden beast` number, since 6 + 4 + 571 + 32 + 1 + 52 = 666.

It is a super-2 number, since 2×64571321522 = 83389111256784302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6457132153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170633 + ... + 1176135.

It is an arithmetic number, because the mean of its divisors is an integer number (186929600).

Almost surely, 26457132152 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 6457132152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972620800).

6457132152 is an abundant number, since it is smaller than the sum of its proper divisors (11488109448).

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

6457132152 is a wasteful number, since it uses less digits than its factorization.

6457132152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5930 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 6457132152 is about 80356.2825919666. The cubic root of 6457132152 is about 1862.1438409225.

Adding to 6457132152 its reverse (2512317546), we get a palindrome (8969449698).

The spelling of 6457132152 in words is "six billion, four hundred fifty-seven million, one hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 379 387 516 758 774 1032 1137 1516 1548 2274 3032 3096 3411 4548 5503 6822 9096 11006 13644 16297 16509 22012 27288 32594 33018 44024 48891 49527 65188 66036 97782 99054 130376 132072 146673 195564 198108 236629 293346 391128 396216 473258 586692 709887 946516 1173384 1419774 1893032 2085637 2129661 2839548 4171274 4259322 5679096 6256911 8342548 8518644 12513822 16685096 17037288 18770733 25027644 37541466 50055288 75082932 89682391 150165864 179364782 269047173 358729564 538094346 717459128 807141519 1076188692 1614283038 2152377384 3228566076 6457132152