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505532412064 = 251916713213769
BaseRepresentation
bin1110101101101000001…
…01000111000010100000
31210022212102102100212001
413112310011013002200
531240312244141224
61024123254013344
751344364413521
oct7266405070240
91708772370761
10505532412064
1118543895a579
1281b85947254
133889639c594
141a679cb6848
15d23b6a6544
hex75b41470a0

505532412064 has 96 divisors (see below), whose sum is σ = 1055000419200. Its totient is φ = 237785518080.

The previous prime is 505532412023. The next prime is 505532412079. The reversal of 505532412064 is 460214235505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134127172 + ... + 134130940.

It is an arithmetic number, because the mean of its divisors is an integer number (10989587700).

Almost surely, 2505532412064 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 505532412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527500209600).

505532412064 is an abundant number, since it is smaller than the sum of its proper divisors (549468007136).

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

505532412064 is a wasteful number, since it uses less digits than its factorization.

505532412064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 505532412064 its reverse (460214235505), we get a palindrome (965746647569).

The spelling of 505532412064 in words is "five hundred five billion, five hundred thirty-two million, four hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 167 304 334 608 668 1321 1336 2642 2672 3173 3769 5284 5344 6346 7538 10568 12692 15076 21136 25099 25384 30152 42272 50198 50768 60304 71611 100396 101536 120608 143222 200792 220607 286444 401584 441214 572888 629423 803168 882428 1145776 1258846 1764856 2291552 2517692 3529712 4191533 4978849 5035384 7059424 8383066 9957698 10070768 11959037 16766132 19915396 20141536 23918074 33532264 39830792 47836148 67064528 79661584 94598131 95672296 134129056 159323168 189196262 191344592 378392524 382689184 756785048 831467783 1513570096 1662935566 3027140192 3325871132 6651742264 13303484528 15797887877 26606969056 31595775754 63191551508 126383103016 252766206032 505532412064