Search a number
-
+
164124312033 = 31124733129063
BaseRepresentation
bin1001100011011010010…
…0100100000111100001
3120200122002211220111110
42120312210210013201
510142111310441113
6203221521333533
714600103430353
oct2306644440741
9520562756443
10164124312033
1163671993900
1227984a972a9
1312627864b46
147d2d5870d3
154408ababc3
hex26369241e1

164124312033 has 48 divisors (see below), whose sum is σ = 246403196928. Its totient is φ = 97055455200.

The previous prime is 164124312017. The next prime is 164124312047. The reversal of 164124312033 is 330213421461.

It is not a de Polignac number, because 164124312033 - 24 = 164124312017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164124312013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5632660 + ... + 5661722.

It is an arithmetic number, because the mean of its divisors is an integer number (5133399936).

Almost surely, 2164124312033 is an apocalyptic number.

It is an amenable number.

164124312033 is a deficient number, since it is larger than the sum of its proper divisors (82278884895).

164124312033 is a wasteful number, since it uses less digits than its factorization.

164124312033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29466 (or 29455 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 164124312033 its reverse (330213421461), we get a palindrome (494337733494).

The spelling of 164124312033 in words is "one hundred sixty-four billion, one hundred twenty-four million, three hundred twelve thousand, thirty-three".

Divisors: 1 3 11 33 47 121 141 331 363 517 993 1551 3641 5687 10923 15557 17061 29063 40051 46671 87189 120153 171127 319693 513381 959079 1365961 1882397 3516623 4097883 5647191 9619853 10549869 15025571 28859559 45076713 105818383 165281281 317455149 452133091 495843843 1164002213 1356399273 3492006639 4973464001 14920392003 54708104011 164124312033