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4226666752 = 287111712613
BaseRepresentation
bin1111101111101101…
…1101000100000000
3101220120012220210001
43323323131010000
532124011314002
61535224045344
7206512034410
oct37373350400
911816186701
104226666752
111879930320
1299b603854
13524884759
142c14b8640
1519b0eaa87
hexfbedd100

4226666752 has 144 divisors (see below), whose sum is σ = 11138262912. Its totient is φ = 1549762560.

The previous prime is 4226666729. The next prime is 4226666761. The reversal of 4226666752 is 2576666224.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 328798 + ... + 341410.

It is an arithmetic number, because the mean of its divisors is an integer number (77349048).

Almost surely, 24226666752 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 4226666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569131456).

4226666752 is an abundant number, since it is smaller than the sum of its proper divisors (6911596160).

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

4226666752 is a wasteful number, since it uses less digits than its factorization.

4226666752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12650 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The square root of 4226666752 is about 65012.8199050003. The cubic root of 4226666752 is about 1616.8361192888.

The spelling of 4226666752 in words is "four billion, two hundred twenty-six million, six hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 256 272 308 352 374 448 476 544 616 704 748 896 952 1088 1232 1309 1408 1496 1792 1904 2176 2464 2618 2816 2992 3808 4352 4928 5236 5984 7616 9856 10472 11968 12613 15232 19712 20944 23936 25226 30464 41888 47872 50452 83776 88291 100904 138743 167552 176582 201808 214421 277486 335104 353164 403616 428842 554972 706328 807232 857684 971201 1109944 1412656 1500947 1614464 1715368 1942402 2219888 2358631 2825312 3001894 3228928 3430736 3884804 4439776 4717262 5650624 6003788 6861472 7769608 8879552 9434524 11301248 12007576 13722944 15539216 16510417 17759104 18869048 22602496 24015152 27445888 31078432 33020834 35518208 37738096 48030304 54891776 62156864 66041668 75476192 96060608 124313728 132083336 150952384 192121216 248627456 264166672 301904768 384242432 528333344 603809536 1056666688 2113333376 4226666752