Search a number
-
+
34252552123013 = 767734792088631
BaseRepresentation
bin1111100100111000010110…
…01100111011001010000101
311111021111211020202121011002
413302130023030323022011
513442143211320414023
6200503223305423045
710133444113130060
oct762341314731205
9144244736677132
1034252552123013
11aa06475790744
123a1245a49aa85
131616003c75813
14865b920398d7
153e5ec2b72b28
hex1f270b33b285

34252552123013 has 32 divisors (see below), whose sum is σ = 40358385500160. Its totient is φ = 28465386871680.

The previous prime is 34252552123007. The next prime is 34252552123039. The reversal of 34252552123013 is 31032125525243.

It is a cyclic number.

It is not a de Polignac number, because 34252552123013 - 230 = 34251478381189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34252552123093) 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 31 ways as a sum of consecutive naturals, for example, 15355208 + ... + 17443838.

It is an arithmetic number, because the mean of its divisors is an integer number (1261199546880).

Almost surely, 234252552123013 is an apocalyptic number.

It is an amenable number.

34252552123013 is a deficient number, since it is larger than the sum of its proper divisors (6105833377147).

34252552123013 is a wasteful number, since it uses less digits than its factorization.

34252552123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089257.

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 34252552123013 its reverse (31032125525243), we get a palindrome (65284677648256).

The spelling of 34252552123013 in words is "thirty-four trillion, two hundred fifty-two billion, five hundred fifty-two million, one hundred twenty-three thousand, thirteen".

Divisors: 1 7 67 73 469 479 511 3353 4891 32093 34237 34967 224651 244769 2088631 2342789 14620417 16399523 139938277 152470063 979567939 1000454249 1067290441 7003179743 10215494221 67030434683 71508459547 73033160177 469213042781 511232121239 4893221731859 34252552123013