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6133021356 = 22371144314983
BaseRepresentation
bin1011011011000111…
…00111101010101100
3120211102100202200010
411231203213222230
5100030023140411
62452323533220
7304660551510
oct55543475254
916742322603
106133021356
112667a267a0
121231b2a210
13769801827
14422758140
1525d6617a6
hex16d8e7aac

6133021356 has 96 divisors (see below), whose sum is σ = 17882984448. Its totient is φ = 1589290560.

The previous prime is 6133021327. The next prime is 6133021357. The reversal of 6133021356 is 6531203316.

It is a happy number.

It is a super-2 number, since 2×61330213562 = 75227901906304157472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6133021357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401841 + ... + 416823.

It is an arithmetic number, because the mean of its divisors is an integer number (186281088).

Almost surely, 26133021356 is an apocalyptic number.

6133021356 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6133021356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941492224).

6133021356 is an abundant number, since it is smaller than the sum of its proper divisors (11749963092).

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

6133021356 is a wasteful number, since it uses less digits than its factorization.

6133021356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15451 (or 15449 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 6133021356 is about 78313.6090089073. The cubic root of 6133021356 is about 1830.4512166347.

The spelling of 6133021356 in words is "six billion, one hundred thirty-three million, twenty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 443 462 886 924 1329 1772 2658 3101 4873 5316 6202 9303 9746 12404 14619 14983 18606 19492 29238 29966 34111 37212 44949 58476 59932 68222 89898 102333 104881 136444 164813 179796 204666 209762 314643 329626 409332 419524 494439 629286 659252 988878 1153691 1258572 1977756 2307382 3461073 4614764 6637469 6922146 13274938 13844292 19912407 26549876 39824814 46462283 73012159 79649628 92924566 139386849 146024318 185849132 219036477 278773698 292048636 438072954 511085113 557547396 876145908 1022170226 1533255339 2044340452 3066510678 6133021356