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104574475401 = 31137413316311
BaseRepresentation
bin110000101100100011…
…1111101110010001001
3100222220222022202210120
41201121013331302021
53203132031203101
6120012453533453
710361311242324
oct1413107756211
9328828282716
10104574475401
1140393624190
1218325944289
139b27460b16
1450c07d57bb
152ac0b39b36
hex18591fdc89

104574475401 has 64 divisors (see below), whose sum is σ = 160538499072. Its totient is φ = 59970240000.

The previous prime is 104574475399. The next prime is 104574475417.

104574475401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104574475401 - 21 = 104574475399 is a prime.

It is a super-2 number, since 2×1045744754012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104574475451) 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 63 ways as a sum of consecutive naturals, for example, 16567036 + ... + 16573346.

It is an arithmetic number, because the mean of its divisors is an integer number (2508414048).

Almost surely, 2104574475401 is an apocalyptic number.

104574475401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104574475401 is a deficient number, since it is larger than the sum of its proper divisors (55964023671).

104574475401 is a wasteful number, since it uses less digits than its factorization.

104574475401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734.

The product of its (nonzero) digits is 313600, while the sum is 42.

It can be divided in two parts, 104574 and 475401, that added together give a palindrome (579975).

The spelling of 104574475401 in words is "one hundred four billion, five hundred seventy-four million, four hundred seventy-five thousand, four hundred one".

Divisors: 1 3 11 33 37 41 111 123 331 407 451 993 1221 1353 1517 3641 4551 6311 10923 12247 13571 16687 18933 36741 40713 50061 69421 134717 149281 208263 233507 258751 404151 447843 502127 700521 776253 1506381 2088941 2568577 2846261 5523397 6266823 7705731 8538783 9573787 16570191 22978351 28721361 68935053 77290817 85646581 105311657 231872451 256939743 315934971 850198987 942112391 2550596961 2826337173 3168923497 9506770491 34858158467 104574475401