Search a number
-
+
164503130463 = 32723988312373
BaseRepresentation
bin1001100100110100100…
…1101001000101011111
3120201121111122212200200
42121031021221011133
510143400300133323
6203323252554543
714612353352310
oct2311511510537
9521544585620
10164503130463
1163846801791
1227a6b922a53
131268819b269
147d679d6607
15442be98443
hex264d26915f

164503130463 has 48 divisors (see below), whose sum is σ = 273027855360. Its totient is φ = 93494907072.

The previous prime is 164503130459. The next prime is 164503130497. The reversal of 164503130463 is 364031305461.

164503130463 is a `hidden beast` number, since 1 + 64 + 5 + 0 + 3 + 130 + 463 = 666.

164503130463 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164503130463 - 22 = 164503130459 is a prime.

It is a super-2 number, since 2×1645031304632 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164503130263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13289145 + ... + 13301517.

It is an arithmetic number, because the mean of its divisors is an integer number (5688080320).

Almost surely, 2164503130463 is an apocalyptic number.

164503130463 is a deficient number, since it is larger than the sum of its proper divisors (108524724897).

164503130463 is a wasteful number, since it uses less digits than its factorization.

164503130463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13505 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 164503130463 in words is "one hundred sixty-four billion, five hundred three million, one hundred thirty thousand, four hundred sixty-three".

Divisors: 1 3 7 9 21 63 239 717 883 1673 2151 2649 5019 6181 7947 12373 15057 18543 37119 55629 86611 111357 211037 259833 633111 779499 1477259 1899333 2957147 4431777 8871441 10925359 13295331 20700029 26614323 32776077 62100087 76477513 98328231 186300261 229432539 688297617 2611160801 7833482403 18278125607 23500447209 54834376821 164503130463