Search a number
-
+
503116842272 = 25112113992
BaseRepresentation
bin1110101001001000001…
…10011100010100100000
31210002122002002201001012
413110210012130110200
531220340402423042
61023043444000052
751230463412142
oct7244406342440
91702562081035
10503116842272
11184409383200
1281610990028
133859cac1b45
141a4cb162c92
15d1495a6e82
hex752419c520

503116842272 has 54 divisors (see below), whose sum is σ = 1088839327779. Its totient is φ = 228669411520.

The previous prime is 503116842271. The next prime is 503116842287. The reversal of 503116842272 is 272248611305.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 251558421136 + 251558421136 = 501556^2 + 501556^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=501556.

It is a super-2 number, since 2×5031168422722 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (503116842271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44131229 + ... + 44142627.

Almost surely, 2503116842272 is an apocalyptic number.

It is an amenable number.

503116842272 is an abundant number, since it is smaller than the sum of its proper divisors (585722485507).

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

503116842272 is an frugal number, since it uses more digits than its factorization.

503116842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22830 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 503116842272 in words is "five hundred three billion, one hundred sixteen million, eight hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 11399 22798 45596 91192 125389 182384 250778 364768 501556 1003112 1379279 2006224 2758558 4012448 5517116 11034232 22068464 44136928 129937201 259874402 519748804 1039497608 1429309211 2078995216 2858618422 4157990432 5717236844 11434473688 15722401321 22868947376 31444802642 45737894752 62889605284 125779210568 251558421136 503116842272