Search a number
-
+
501042540535232 = 26374147892634691
BaseRepresentation
bin111000111101100100000111…
…0101001010101110111000000
32102201001012101010112011120112
41301323020032221111313000
51011133040110334111412
64533343433203330452
7210352062144330653
oct16173101651256700
92381035333464515
10501042540535232
11135713a47a864a3
1248241499080a28
1318676155164567
148ba283463389a
153cdd3edbd2722
hex1c7b20ea55dc0

501042540535232 has 448 divisors, whose sum is σ = 1084631679774720. Its totient is φ = 229206594355200.

The previous prime is 501042540535213. The next prime is 501042540535267. The reversal of 501042540535232 is 232535045240105.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 501042540535232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106809322007 + ... + 106809326697.

It is an arithmetic number, because the mean of its divisors is an integer number (2421052856640).

Almost surely, 2501042540535232 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 501042540535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542315839887360).

501042540535232 is an abundant number, since it is smaller than the sum of its proper divisors (583589139239488).

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

501042540535232 is a wasteful number, since it uses less digits than its factorization.

501042540535232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 41.

Adding to 501042540535232 its reverse (232535045240105), we get a palindrome (733577585775337).

The spelling of 501042540535232 in words is "five hundred one trillion, forty-two billion, five hundred forty million, five hundred thirty-five thousand, two hundred thirty-two".