Search a number
-
+
104921609067 = 3511473492393
BaseRepresentation
bin110000110110111010…
…0001011001101101011
3101000211011111222200000
41201231310023031223
53204334412442232
6120111134114043
710403024650662
oct1415564131553
9330734458600
10104921609067
1140551570910
121840204b923
139b81352462
145114957dd9
152ae135927c
hex186dd0b36b

104921609067 has 96 divisors (see below), whose sum is σ = 175677465600. Its totient is φ = 62031640320.

The previous prime is 104921609041. The next prime is 104921609071. The reversal of 104921609067 is 760906129401.

104921609067 is a `hidden beast` number, since 1 + 0 + 492 + 16 + 0 + 90 + 67 = 666.

It is not a de Polignac number, because 104921609067 - 28 = 104921608811 is a prime.

It is a super-2 number, since 2×1049216090672 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104921609087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43844023 + ... + 43846415.

It is an arithmetic number, because the mean of its divisors is an integer number (1829973600).

Almost surely, 2104921609067 is an apocalyptic number.

104921609067 is a deficient number, since it is larger than the sum of its proper divisors (70755856533).

104921609067 is a wasteful number, since it uses less digits than its factorization.

104921609067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 104921609067 in words is "one hundred four billion, nine hundred twenty-one million, six hundred nine thousand, sixty-seven".

Divisors: 1 3 9 11 27 33 47 81 99 141 243 297 349 423 517 891 1047 1269 1551 2393 2673 3141 3807 3839 4653 7179 9423 11421 11517 13959 16403 21537 26323 28269 34551 41877 49209 64611 78969 84807 103653 112471 125631 147627 180433 193833 236907 310959 337413 442881 541299 581499 710721 835157 932877 1012239 1237181 1328643 1623897 2132163 2505471 3036717 3711543 3985929 4871691 6396489 7516413 9110151 9186727 11134629 14615073 22549239 27330453 27560181 33403887 39252379 43845219 67647717 82680543 100211661 117757137 202943151 248041629 300634983 353271411 431776169 744124887 1059814233 1295328507 2232374661 3179442699 3885985521 9538328097 11657956563 34973869689 104921609067