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4947361416 = 233113491
BaseRepresentation
bin1001001101110001…
…01011111010001000
3110202210100000000000
410212320223322020
540113011031131
62134531043000
7233412610134
oct44670537210
913683300000
104947361416
112109724948
12b60a40460
1360ac8b4ba
1434d0bc3c4
151de509ce6
hex126e2be88

4947361416 has 96 divisors (see below), whose sum is σ = 13918413600. Its totient is φ = 1648648080.

The previous prime is 4947361381. The next prime is 4947361453. The reversal of 4947361416 is 6141637494.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1415431 + ... + 1418921.

It is an arithmetic number, because the mean of its divisors is an integer number (144983475).

Almost surely, 24947361416 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 4947361416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959206800).

4947361416 is an abundant number, since it is smaller than the sum of its proper divisors (8971052184).

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

4947361416 is an frugal number, since it uses more digits than its factorization.

4947361416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3496 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4947361416 is about 70337.4822978474. The cubic root of 4947361416 is about 1703.9540505364.

It can be divided in two parts, 49473 and 61416, that added together give a square (110889 = 3332).

The spelling of 4947361416 in words is "four billion, nine hundred forty-seven million, three hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 3491 4374 5832 6561 6982 8748 10473 13122 13964 17496 19683 20946 26244 27928 31419 39366 41892 52488 59049 62838 78732 83784 94257 118098 125676 157464 177147 188514 236196 251352 282771 354294 377028 472392 565542 708588 754056 848313 1131084 1417176 1696626 2262168 2544939 3393252 5089878 6786504 7634817 10179756 15269634 20359512 22904451 30539268 45808902 61078536 68713353 91617804 137426706 183235608 206140059 274853412 412280118 549706824 618420177 824560236 1236840354 1649120472 2473680708 4947361416