Search a number
-
+
104526625401 = 321123131350423
BaseRepresentation
bin110000101011001000…
…1011011101001111001
3100222210122021201221100
41201112101123221321
53203032304003101
6120004024202013
710360160441052
oct1412621335171
9328718251840
10104526625401
1140369611830
1218311909309
139b1a579203
1450b82db729
152abb836e86
hex185645ba79

104526625401 has 48 divisors (see below), whose sum is σ = 173182344192. Its totient is φ = 60132415200.

The previous prime is 104526625381. The next prime is 104526625409.

104526625401 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 26 + 625 + 4 + 0 + 1 = 666.

104526625401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104526625401 - 26 = 104526625337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104526625409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123076 + ... + 473498.

It is an arithmetic number, because the mean of its divisors is an integer number (3607965504).

Almost surely, 2104526625401 is an apocalyptic number.

104526625401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104526625401 is a deficient number, since it is larger than the sum of its proper divisors (68655718791).

104526625401 is a wasteful number, since it uses less digits than its factorization.

104526625401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350594 (or 350591 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 104526 and 625401, that added together give a palindrome (729927).

The spelling of 104526625401 in words is "one hundred four billion, five hundred twenty-six million, six hundred twenty-five thousand, four hundred one".

Divisors: 1 3 9 11 23 33 69 99 131 207 253 393 759 1179 1441 2277 3013 4323 9039 12969 27117 33143 99429 298287 350423 1051269 3153807 3854653 8059729 11563959 24179187 34691877 45905413 72537561 88657019 137716239 265971057 413148717 504959543 797913171 1055824499 1514878629 3167473497 4544635887 9502420491 11614069489 34842208467 104526625401