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4229147052 = 2234131759063
BaseRepresentation
bin1111110000010011…
…1010100110101100
3101220201212221010000
43330010322212230
532130130201202
61535353144300
7206542104534
oct37404724654
911821787100
104229147052
111880274859
129a03bb090
135252426a0
142c19624c4
1519b43a91c
hexfc13a9ac

4229147052 has 120 divisors (see below), whose sum is σ = 12606856416. Its totient is φ = 1224709632.

The previous prime is 4229147023. The next prime is 4229147059. The reversal of 4229147052 is 2507419224.

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 = 4229146998 and 4229147016.

It is not an unprimeable number, because it can be changed into a prime (4229147059) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 42073 + ... + 101135.

Almost surely, 24229147052 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 4229147052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303428208).

4229147052 is an abundant number, since it is smaller than the sum of its proper divisors (8377709364).

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

4229147052 is a wasteful number, since it uses less digits than its factorization.

4229147052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59109 (or 59098 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4229147052 is about 65031.8925758739. The cubic root of 4229147052 is about 1617.1523223148.

The spelling of 4229147052 in words is "four billion, two hundred twenty-nine million, one hundred forty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1836 1989 2106 2652 2754 3978 4212 5508 5967 7956 11934 17901 23868 35802 59063 71604 118126 177189 236252 354378 531567 708756 767819 1004071 1063134 1535638 1594701 2008142 2126268 2303457 3012213 3071276 3189402 4016284 4606914 4784103 6024426 6378804 6910371 9036639 9213828 9568206 12048852 13052923 13820742 18073278 19136412 20731113 26105846 27109917 27641484 36146556 39158769 41462226 52211692 54219834 62193339 78317538 81329751 82924452 108439668 117476307 124386678 156635076 162659502 234952614 248773356 325319004 352428921 469905228 704857842 1057286763 1409715684 2114573526 4229147052