Search a number
-
+
22765015133137 = 1014871938723873
BaseRepresentation
bin1010010110100011001001…
…01000111110101111010001
32222121022111001020201102201
411023101210220332233101
510440440222333230022
6120230034212243201
74536501203614414
oct513214450765721
988538431221381
1022765015133137
117287652618302
122678019610501
13c9196876bc04
14589b92985b7b
15297284ab4127
hex14b464a3ebd1

22765015133137 has 16 divisors (see below), whose sum is σ = 23039772918912. Its totient is φ = 22491233971200.

The previous prime is 22765015133087. The next prime is 22765015133149. The reversal of 22765015133137 is 73133151056722.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22765015133137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22765015133177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953576433 + ... + 953600305.

It is an arithmetic number, because the mean of its divisors is an integer number (1439985807432).

Almost surely, 222765015133137 is an apocalyptic number.

It is an amenable number.

22765015133137 is a deficient number, since it is larger than the sum of its proper divisors (274757785775).

22765015133137 is a wasteful number, since it uses less digits than its factorization.

22765015133137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43848.

The product of its (nonzero) digits is 793800, while the sum is 46.

Adding to 22765015133137 its reverse (73133151056722), we get a palindrome (95898166189859).

The spelling of 22765015133137 in words is "twenty-two trillion, seven hundred sixty-five billion, fifteen million, one hundred thirty-three thousand, one hundred thirty-seven".

Divisors: 1 101 487 19387 23873 49187 1958087 2411173 9441469 11626151 462825851 953588369 1174241251 46745410951 225396189437 22765015133137