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6055110456 = 23317192333961
BaseRepresentation
bin1011010001110100…
…11010011100111000
3120121222202111000020
411220322122130320
544400102013311
62440502010440
7303023406153
oct55072323470
916558674006
106055110456
112627a5211a
12120ba16a20
137566232c5
14416276c9a
152568c1c06
hex168e9a738

6055110456 has 128 divisors (see below), whose sum is σ = 17605900800. Its totient is φ = 1721364480.

The previous prime is 6055110409. The next prime is 6055110463. The reversal of 6055110456 is 6540115506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161316 + ... + 195276.

It is an arithmetic number, because the mean of its divisors is an integer number (137546100).

Almost surely, 26055110456 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 6055110456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802950400).

6055110456 is an abundant number, since it is smaller than the sum of its proper divisors (11550790344).

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

6055110456 is a wasteful number, since it uses less digits than its factorization.

6055110456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34029 (or 34025 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 6055110456 is about 77814.5902514432. The cubic root of 6055110456 is about 1822.6671091931.

The spelling of 6055110456 in words is "six billion, fifty-five million, one hundred ten thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 19 23 24 34 38 46 51 57 68 69 76 92 102 114 136 138 152 184 204 228 276 323 391 408 437 456 552 646 782 874 969 1173 1292 1311 1564 1748 1938 2346 2584 2622 3128 3496 3876 4692 5244 7429 7752 9384 10488 14858 22287 29716 33961 44574 59432 67922 89148 101883 135844 178296 203766 271688 407532 577337 645259 781103 815064 1154674 1290518 1562206 1732011 1935777 2309348 2343309 2581036 3124412 3464022 3871554 4618696 4686618 5162072 6248824 6928044 7743108 9373236 10969403 13278751 13856088 14840957 15486216 18746472 21938806 26557502 29681914 32908209 39836253 43877612 44522871 53115004 59363828 65816418 79672506 87755224 89045742 106230008 118727656 131632836 159345012 178091484 252296269 263265672 318690024 356182968 504592538 756888807 1009185076 1513777614 2018370152 3027555228 6055110456