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104292181053 = 3241536777877
BaseRepresentation
bin110000100100001001…
…1000110010000111101
3100222012022010201202100
41201020103012100331
53202042244243203
6115524451215313
710351312624614
oct1411023062075
9328168121670
10104292181053
1140259243275
12182672a7539
139ab0b22048
14509511087b
152aa5e76ea3
hex18484c643d

104292181053 has 48 divisors (see below), whose sum is σ = 157482417456. Its totient is φ = 66445716480.

The previous prime is 104292181033. The next prime is 104292181069. The reversal of 104292181053 is 350181292401.

104292181053 is a `hidden beast` number, since 1 + 0 + 429 + 2 + 181 + 0 + 53 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3229209 + 104288951844 = 1797^2 + 322938^2 .

It is not a de Polignac number, because 104292181053 - 29 = 104292180541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104292180999 and 104292181017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104292181033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13236151 + ... + 13244027.

It is an arithmetic number, because the mean of its divisors is an integer number (3280883697).

Almost surely, 2104292181053 is an apocalyptic number.

It is an amenable number.

104292181053 is a deficient number, since it is larger than the sum of its proper divisors (53190236403).

104292181053 is a wasteful number, since it uses less digits than its factorization.

104292181053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 104292181053 in words is "one hundred four billion, two hundred ninety-two million, one hundred eighty-one thousand, fifty-three".

Divisors: 1 3 9 41 53 123 159 369 477 677 2031 2173 6093 6519 7877 19557 23631 27757 35881 70893 83271 107643 249813 322929 322957 417481 968871 1252443 1471121 2906613 3757329 4413363 5332729 13240089 15998187 17116721 47994561 51350163 154050489 218641889 282634637 655925667 847903911 1967777001 2543711733 11588020117 34764060351 104292181053