Search a number
-
+
531145062666 = 233412293133347
BaseRepresentation
bin1111011101010101011…
…01100111100100001010
31212202222102010211022000
413232222231213210022
532200241114001131
61044001002011430
753242161353331
oct7565255474412
91782872124260
10531145062666
111952915a5009
1286b334a6b76
133b11881083a
141b9c977ad18
15dc3a044ce6
hex7baab6790a

531145062666 has 128 divisors (see below), whose sum is σ = 1218634502400. Its totient is φ = 171375160320.

The previous prime is 531145062629. The next prime is 531145062667. The reversal of 531145062666 is 666260541135.

It is not an unprimeable number, because it can be changed into a prime (531145062667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158691205 + ... + 158694551.

It is an arithmetic number, because the mean of its divisors is an integer number (9520582050).

Almost surely, 2531145062666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531145062666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609317251200).

531145062666 is an abundant number, since it is smaller than the sum of its proper divisors (687489439734).

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

531145062666 is a wasteful number, since it uses less digits than its factorization.

531145062666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 531145062666 in words is "five hundred thirty-one billion, one hundred forty-five million, sixty-two thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 229 246 313 369 458 626 687 738 939 1107 1374 1878 2061 2214 2817 3347 4122 5634 6183 6694 8451 9389 10041 12366 12833 16902 18778 20082 25666 28167 30123 38499 56334 60246 71677 76998 84501 90369 115497 137227 143354 169002 180738 215031 230994 253503 274454 346491 411681 430062 507006 645093 692982 766463 823362 1047611 1235043 1290186 1532926 1935279 2095222 2299389 2470086 2938757 3142833 3705129 3870558 4598778 5877514 6285666 6898167 7410258 8816271 9428499 13796334 17632542 18856998 20694501 26448813 28285497 31424983 41389002 42952051 52897626 56570994 62849966 79346439 85904102 94274949 128856153 158692878 188549898 239902919 257712306 282824847 386568459 479805838 565649694 719708757 773136918 848474541 1159705377 1439417514 1696949082 2159126271 2319410754 4318252542 6477378813 9836019679 12954757626 19672039358 29508059037 59016118074 88524177111 177048354222 265572531333 531145062666