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104553355401 = 321119221325117
BaseRepresentation
bin110000101011111011…
…1011001100010001001
3100222212111120202121100
41201113313121202021
53203111124333101
6120010421132013
710360633600065
oct1412767314211
9328774522540
10104553355401
1140382709440
121831a85a009
139b22c77991
1450bba98aa5
152abdd66e86
hex1857dd9889

104553355401 has 48 divisors (see below), whose sum is σ = 173507106240. Its totient is φ = 60001119360.

The previous prime is 104553355397. The next prime is 104553355411.

104553355401 is a `hidden beast` number, since 10 + 4 + 553 + 3 + 55 + 40 + 1 = 666.

104553355401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104553355401 - 22 = 104553355397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104553355411) 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, 4150095 + ... + 4175211.

It is an arithmetic number, because the mean of its divisors is an integer number (3614731380).

Almost surely, 2104553355401 is an apocalyptic number.

104553355401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104553355401 is a deficient number, since it is larger than the sum of its proper divisors (68953750839).

104553355401 is a wasteful number, since it uses less digits than its factorization.

104553355401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27366 (or 27363 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 104553 and 355401, that added together give a palindrome (459954).

The spelling of 104553355401 in words is "one hundred four billion, five hundred fifty-three million, three hundred fifty-five thousand, four hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 2213 6639 19917 24343 25117 42047 73029 75351 126141 219087 226053 276287 378423 462517 477223 828861 1387551 1431669 2486583 4162653 4295007 5249453 15748359 47245077 55583921 166751763 500255289 611423131 1056094499 1834269393 3168283497 5502808179 9504850491 11617039489 34851118467 104553355401