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6041279052 = 2234171935683
BaseRepresentation
bin1011010000001011…
…01001101001001100
3120121000201202220000
411220011221221030
544333031412202
62435245324300
7302465011314
oct55005515114
916530652800
106041279052
112620165406
121207266690
137537bc843
144144b6444
1525558d91c
hex168169a4c

6041279052 has 120 divisors (see below), whose sum is σ = 16811703216. Its totient is φ = 1885151232.

The previous prime is 6041279051. The next prime is 6041279071. The reversal of 6041279052 is 2509721406.

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

It is a junction number, because it is equal to n+sod(n) for n = 6041278998 and 6041279016.

It is not an unprimeable number, because it can be changed into a prime (6041279051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1060203 + ... + 1065885.

Almost surely, 26041279052 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 6041279052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405851608).

6041279052 is an abundant number, since it is smaller than the sum of its proper divisors (10770424164).

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

6041279052 is a wasteful number, since it uses less digits than its factorization.

6041279052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6041279052 is about 77725.6653364897. The cubic root of 6041279052 is about 1821.2782402314.

The spelling of 6041279052 in words is "six billion, forty-one million, two hundred seventy-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 193 204 306 324 386 459 579 612 772 918 1158 1377 1737 1836 2316 2754 3281 3474 5211 5508 5683 6562 6948 9843 10422 11366 13124 15633 17049 19686 20844 22732 29529 31266 34098 39372 51147 59058 62532 68196 88587 96611 102294 118116 153441 177174 193222 204588 265761 289833 306882 354348 386444 460323 531522 579666 613764 869499 920646 1063044 1096819 1159332 1738998 1841292 2193638 2608497 3290457 3477996 4387276 5216994 6580914 7825491 9871371 10433988 13161828 15650982 18645923 19742742 29614113 31301964 37291846 39485484 55937769 59228226 74583692 88842339 111875538 118456452 167813307 177684678 223751076 335626614 355369356 503439921 671253228 1006879842 1510319763 2013759684 3020639526 6041279052