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531241153152 = 2733153842021
BaseRepresentation
bin1111011101100000111…
…00001011001010000000
31212210020002221201122220
413232300130023022000
532200440213400102
61044014313331040
753244436203453
oct7566034131200
91783202851586
10531241153152
11195330866236
1286b5b706a80
133b1326b5a08
141b9d843149a
15dc436c61bc
hex7bb070b280

531241153152 has 128 divisors (see below), whose sum is σ = 1484114296320. Its totient is φ = 168134553600.

The previous prime is 531241153087. The next prime is 531241153171. The reversal of 531241153152 is 251351142135.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 209902 + ... + 1051922.

It is an arithmetic number, because the mean of its divisors is an integer number (11594642940).

Almost surely, 2531241153152 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 531241153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742057148160).

531241153152 is an abundant number, since it is smaller than the sum of its proper divisors (952873143168).

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

531241153152 is a wasteful number, since it uses less digits than its factorization.

531241153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842122 (or 842110 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

Adding to 531241153152 its reverse (251351142135), we get a palindrome (782592295287).

The spelling of 531241153152 in words is "five hundred thirty-one billion, two hundred forty-one million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 318 372 384 424 496 636 744 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 3968 4929 5088 5952 6572 6784 9858 10176 11904 13144 19716 20352 26288 39432 52576 78864 105152 157728 210304 315456 630912 842021 1684042 2526063 3368084 5052126 6736168 10104252 13472336 20208504 26102651 26944672 40417008 44627113 52205302 53889344 78307953 80834016 89254226 104410604 107778688 133881339 156615906 161668032 178508452 208821208 267762678 313231812 323336064 357016904 417642416 535525356 626463624 714033808 835284832 1071050712 1252927248 1383440503 1428067616 1670569664 2142101424 2505854496 2766881006 2856135232 3341139328 4150321509 4284202848 5011708992 5533762012 5712270464 8300643018 8568405696 10023417984 11067524024 16601286036 17136811392 22135048048 33202572072 44270096096 66405144144 88540192192 132810288288 177080384384 265620576576 531241153152