Search a number
-
+
4121561808 = 2432713314527
BaseRepresentation
bin1111010110101010…
…0000101011010000
3101122020110000220100
43311222200223100
531420104434213
61520551212400
7204064461120
oct36552405320
911566400810
104121561808
111825572431
12970377100
13508b74490
142b1558c80
15191c88773
hexf5aa0ad0

4121561808 has 120 divisors (see below), whose sum is σ = 14196535808. Its totient is φ = 1087001856.

The previous prime is 4121561791. The next prime is 4121561819. The reversal of 4121561808 is 8081651214.

4121561808 is a `hidden beast` number, since 4 + 12 + 1 + 561 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144160 + ... + 170367.

Almost surely, 24121561808 is an apocalyptic number.

4121561808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4121561808 is an abundant number, since it is smaller than the sum of its proper divisors (10074974000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4121561808 is a wasteful number, since it uses less digits than its factorization.

4121561808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314561 (or 314552 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 4121561808 is about 64199.3910251491. The cubic root of 4121561808 is about 1603.3214605827.

The spelling of 4121561808 in words is "four billion, one hundred twenty-one million, five hundred sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 314527 629054 943581 1258108 1887162 2201689 2516216 2830743 3774324 4088851 4403378 5032432 5661486 6605067 7548648 8177702 8806756 11322972 12266553 13210134 15097296 16355404 17613512 19815201 22645944 24533106 26420268 28621957 32710808 35227024 36799659 39630402 45291888 49066212 52840536 57243914 65421616 73599318 79260804 85865871 98132424 105681072 114487828 147198636 158521608 171731742 196264848 228975656 257597613 294397272 317043216 343463484 457951312 515195226 588794544 686926968 1030390452 1373853936 2060780904 4121561808