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4962141744 = 2437293131627
BaseRepresentation
bin1001001111100010…
…00100011000110000
3110210211010220210120
410213301010120300
540130302013434
62140215530240
7233652336360
oct44761043060
913724126716
104962141744
112116aaa59a
12b65989980
13611064b61
143510489a0
151e0979349
hex127c44630

4962141744 has 160 divisors (see below), whose sum is σ = 15213073920. Its totient is φ = 1363654656.

The previous prime is 4962141733. The next prime is 4962141763. The reversal of 4962141744 is 4471412694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4962141696 and 4962141705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3049059 + ... + 3050685.

It is an arithmetic number, because the mean of its divisors is an integer number (95081712).

Almost surely, 24962141744 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 4962141744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606536960).

4962141744 is an abundant number, since it is smaller than the sum of its proper divisors (10250932176).

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

4962141744 is a wasteful number, since it uses less digits than its factorization.

4962141744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 4962141744 is about 70442.4711661935. The cubic root of 4962141744 is about 1705.6492276206.

The spelling of 4962141744 in words is "four billion, nine hundred sixty-two million, one hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 313 336 348 406 464 609 626 696 812 939 1218 1252 1392 1624 1627 1878 2191 2436 2504 3248 3254 3756 4382 4872 4881 5008 6508 6573 7512 8764 9077 9744 9762 11389 13016 13146 15024 17528 18154 19524 22778 26032 26292 27231 34167 35056 36308 39048 45556 47183 52584 54462 63539 68334 72616 78096 91112 94366 105168 108924 127078 136668 141549 145232 182224 188732 190617 217848 254156 273336 283098 330281 377464 381234 435696 508312 509251 546672 566196 660562 754928 762468 990843 1016624 1018502 1132392 1321124 1524936 1527753 1981686 2037004 2264784 2642248 3049872 3055506 3564757 3963372 4074008 5284496 6111012 7129514 7926744 8148016 10694271 12222024 14259028 14768279 15853488 21388542 24444048 28518056 29536558 42777084 44304837 57036112 59073116 85554168 88609674 103377953 118146232 171108336 177219348 206755906 236292464 310133859 354438696 413511812 620267718 708877392 827023624 1240535436 1654047248 2481070872 4962141744