Search a number
-
+
6011144208 = 24322310916651
BaseRepresentation
bin1011001100100101…
…01100100000010000
3120111221000202122200
411212102230200100
544302323103313
62432251403200
7301650611526
oct54622544020
916457022580
106011144208
112605152683
1211b9153500
1374a49b384
144104b0316
15252ad9b73
hex1664ac810

6011144208 has 120 divisors (see below), whose sum is σ = 17716395840. Its totient is φ = 1898899200.

The previous prime is 6011144197. The next prime is 6011144261. The reversal of 6011144208 is 8024411106.

It is a happy number.

6011144208 is a `hidden beast` number, since 601 + 1 + 14 + 42 + 0 + 8 = 666.

It is a super-2 number, since 2×60111442082 = 72267709378743894528, which contains 22 as substring.

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, 352683 + ... + 369333.

It is an arithmetic number, because the mean of its divisors is an integer number (147636632).

Almost surely, 26011144208 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 6011144208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858197920).

6011144208 is an abundant number, since it is smaller than the sum of its proper divisors (11705251632).

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

6011144208 is a wasteful number, since it uses less digits than its factorization.

6011144208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16797 (or 16788 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6011144208 is about 77531.5691057520. The cubic root of 6011144208 is about 1818.2449175713.

The spelling of 6011144208 in words is "six billion, eleven million, one hundred forty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 109 138 144 184 207 218 276 327 368 414 436 552 654 828 872 981 1104 1308 1656 1744 1962 2507 2616 3312 3924 5014 5232 7521 7848 10028 15042 15696 16651 20056 22563 30084 33302 40112 45126 49953 60168 66604 90252 99906 120336 133208 149859 180504 199812 266416 299718 361008 382973 399624 599436 765946 799248 1148919 1198872 1531892 1814959 2297838 2397744 3063784 3446757 3629918 4595676 5444877 6127568 6893514 7259836 9191352 10889754 13787028 14519672 16334631 18382704 21779508 27574056 29039344 32669262 41744057 43559016 55148112 65338524 83488114 87118032 125232171 130677048 166976228 250464342 261354096 333952456 375696513 500928684 667904912 751393026 1001857368 1502786052 2003714736 3005572104 6011144208