Search a number
-
+
133228272562164 = 2232131427199492499
BaseRepresentation
bin11110010010101110011111…
…110111000010111111110100
3122110201111110101101012212100
4132102232133313002333310
5114430303000233442124
61151204120134422100
740030265535551523
oct3622563767027764
9573644411335770
10133228272562164
11394a587a67555a
1212b38646b01930
1359454ab934080
1424c83d5dd64ba
15106088e3b71c9
hex792b9fdc2ff4

133228272562164 has 72 divisors (see below), whose sum is σ = 362931119460000. Its totient is φ = 40964587509312.

The previous prime is 133228272562123. The next prime is 133228272562219. The reversal of 133228272562164 is 461265272822331.

133228272562164 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 8 + 2 + 7 + 2 + 5 + 621 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133228272562164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99078414 + ... + 100414085.

It is an arithmetic number, because the mean of its divisors is an integer number (5040709992500).

Almost surely, 2133228272562164 is an apocalyptic number.

It is an amenable number.

133228272562164 is an abundant number, since it is smaller than the sum of its proper divisors (229702846897836).

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

133228272562164 is a wasteful number, since it uses less digits than its factorization.

133228272562164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199493949 (or 199493944 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 133228272562164 in words is "one hundred thirty-three trillion, two hundred twenty-eight billion, two hundred seventy-two million, five hundred sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1427 2854 4281 5708 8562 12843 17124 18551 25686 37102 51372 55653 74204 111306 166959 222612 333918 667836 199492499 398984998 598477497 797969996 1196954994 1795432491 2393909988 2593402487 3590864982 5186804974 7181729964 7780207461 10373609948 15560414922 23340622383 31120829844 46681244766 93362489532 284675796073 569351592146 854027388219 1138703184292 1708054776438 2562082164657 3416109552876 3700785348949 5124164329314 7401570697898 10248328658628 11102356046847 14803141395796 22204712093694 33307068140541 44409424187388 66614136281082 133228272562164