Search a number
-
+
6105060161408 = 271337208747513
BaseRepresentation
bin101100011010111000111…
…1100010011011110000000
3210121122020010202201122102
41120311301330103132000
51300011130400131113
620552343110525532
71200035040102635
oct130656174233600
923548203681572
106105060161408
111a4416133672a
128272503668a8
13353921303690
141716b4cd218c
15a8c1755e758
hex58d71f13780

6105060161408 has 128 divisors (see below), whose sum is σ = 13458724413120. Its totient is φ = 2740194164736.

The previous prime is 6105060161399. The next prime is 6105060161437. The reversal of 6105060161408 is 8041610605016.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×61050601614082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128468660 + ... + 128516172.

Almost surely, 26105060161408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105060161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729362206560).

6105060161408 is an abundant number, since it is smaller than the sum of its proper divisors (7353664251712).

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

6105060161408 is a wasteful number, since it uses less digits than its factorization.

6105060161408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49664 (or 49652 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 6105060161408 in words is "six trillion, one hundred five billion, sixty million, one hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1184 1664 1924 2087 2368 3848 4174 4736 7696 8348 15392 16696 27131 30784 33392 47513 54262 61568 66784 77219 95026 108524 133568 154438 190052 217048 267136 308876 380104 434096 617669 617752 760208 868192 1003847 1235338 1235504 1520416 1736384 1757981 2007694 2470676 2471008 3040832 3472768 3515962 4015388 4941352 4942016 6081664 7031924 8030776 9882704 9884032 14063848 16061552 19765408 22853753 28127696 32123104 39530816 45707506 56255392 64246208 79061632 91415012 99159631 112510784 128492416 182830024 198319262 225021568 365660048 396638524 731320096 793277048 1289075203 1462640192 1586554096 2578150406 2925280384 3173108192 3668906347 5156300812 6346216384 7337812694 10312601624 12692432768 14675625388 20625203248 29351250776 41250406496 47695782511 58702501552 82500812992 95391565022 117405003104 165001625984 190783130044 234810006208 381566260088 469620012416 763132520176 1526265040352 3052530080704 6105060161408