Search a number
-
+
69109427251264 = 26312335212
BaseRepresentation
bin11111011011010110010101…
…10111001010100001000000
3100001200210111210212200010111
433231223022313022201000
533024242101334020024
6402552233234441104
720361664014125041
oct1755531267124100
9301623453780114
1069109427251264
1120025164005784
127901a53433194
132c73cb63912aa
14130ccb25108c8
157eca64e3da94
hex3edacadca840

69109427251264 has 63 divisors (see below), whose sum is σ = 141709791034893. Its totient is φ = 33439047859200.

The previous prime is 69109427251261. The next prime is 69109427251343. The reversal of 69109427251264 is 46215272490196.

The square root of 69109427251264 is 8313208.

It is a perfect power (a square), and thus also a powerful number.

69109427251264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19222893209664 + 49886534041600 = 4384392^2 + 7063040^2 .

It is a super-2 number, since 2×691094272512642 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 69109427251199 and 69109427251208.

It is not an unprimeable number, because it can be changed into a prime (69109427251261) 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 8 ways as a sum of consecutive naturals, for example, 2061658824 + ... + 2061692344.

Almost surely, 269109427251264 is an apocalyptic number.

69109427251264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

69109427251264 is the 8313208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69109427251264

69109427251264 is an abundant number, since it is smaller than the sum of its proper divisors (72600363783629).

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

69109427251264 is an frugal number, since it uses more digits than its factorization.

69109427251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67116 (or 33554 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 69109427251264 in words is "sixty-nine trillion, one hundred nine billion, four hundred twenty-seven million, two hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 7688 15376 30752 33521 61504 67042 134084 268168 536336 1039151 1072672 2078302 2145344 4156604 8313208 16626416 32213681 33252832 64427362 66505664 128854724 257709448 515418896 1030837792 1123657441 2061675584 2247314882 4494629764 8989259528 17978519056 34833380671 35957038112 69666761342 71914076224 139333522684 278667045368 557334090736 1079834800801 1114668181472 2159669601602 2229336362944 4319339203204 8638678406408 17277356812816 34554713625632 69109427251264