Search a number
-
+
31864272013 = 7235913924133
BaseRepresentation
bin11101101011010000…
…100011010010001101
310001020200020201210201
4131223100203102031
51010224223201023
622345505533501
72205424562140
oct355320432215
9101220221721
1031864272013
1112571607202
126213344291
13300a699732
141783c92057
15c6762abad
hex76b42348d

31864272013 has 32 divisors (see below), whose sum is σ = 38923315200. Its totient is φ = 25496133696.

The previous prime is 31864272007. The next prime is 31864272043. The reversal of 31864272013 is 31027246813.

It is a happy number.

It is not a de Polignac number, because 31864272013 - 229 = 31327401101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31864272043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308295 + ... + 1332427.

It is an arithmetic number, because the mean of its divisors is an integer number (1216353600).

Almost surely, 231864272013 is an apocalyptic number.

It is an amenable number.

31864272013 is a deficient number, since it is larger than the sum of its proper divisors (7059043187).

31864272013 is a wasteful number, since it uses less digits than its factorization.

31864272013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24361.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 31864272013 in words is "thirty-one billion, eight hundred sixty-four million, two hundred seventy-two thousand, thirteen".

Divisors: 1 7 23 59 139 161 413 973 1357 3197 8201 9499 22379 24133 57407 168931 188623 555059 1320361 1423847 3354487 3885413 9966929 23481409 32748481 77153201 197914733 229239367 540072407 1385403131 4552038859 31864272013