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4806117936 = 243373257593
BaseRepresentation
bin1000111100111011…
…11000101000110000
3110101221120002101000
410132131320220300
534320331233221
62112523442000
7230046220434
oct43635705060
913357502330
104806117936
112046a235a4
12b21686300
135b7937189
143384329c4
151d1e09e26
hex11e778a30

4806117936 has 160 divisors (see below), whose sum is σ = 14062403520. Its totient is φ = 1571291136.

The previous prime is 4806117919. The next prime is 4806117937. The reversal of 4806117936 is 6397116084.

It is a happy number.

It is a super-3 number, since 3×48061179363 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4806117891 and 4806117900.

It is not an unprimeable number, because it can be changed into a prime (4806117937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8104456 + ... + 8105048.

It is an arithmetic number, because the mean of its divisors is an integer number (87890022).

Almost surely, 24806117936 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 4806117936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031201760).

4806117936 is an abundant number, since it is smaller than the sum of its proper divisors (9256285584).

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

4806117936 is a wasteful number, since it uses less digits than its factorization.

4806117936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4806117936 is about 69326.1706428388. The cubic root of 4806117936 is about 1687.5817023158.

The spelling of 4806117936 in words is "four billion, eight hundred six million, one hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 257 292 432 438 514 584 593 657 771 876 1028 1168 1186 1314 1542 1752 1779 1971 2056 2313 2372 2628 3084 3504 3558 3942 4112 4626 4744 5256 5337 6168 6939 7116 7884 9252 9488 10512 10674 12336 13878 14232 15768 16011 18504 18761 21348 27756 28464 31536 32022 37008 37522 42696 43289 55512 56283 64044 75044 85392 86578 111024 112566 128088 129867 150088 152401 168849 173156 225132 256176 259734 300176 304802 337698 346312 389601 450264 457203 506547 519468 609604 675396 692624 779202 900528 914406 1013094 1038936 1168803 1219208 1350792 1371609 1558404 1828812 2026188 2077872 2337606 2438416 2701584 2743218 3116808 3657624 4052376 4114827 4675212 5486436 6233616 7315248 8104752 8229654 9350424 10972872 11125273 16459308 18700848 21945744 22250546 32918616 33375819 44501092 65837232 66751638 89002184 100127457 133503276 178004368 200254914 267006552 300382371 400509828 534013104 600764742 801019656 1201529484 1602039312 2403058968 4806117936