Search a number
-
+
4653840816 = 243211322531
BaseRepresentation
bin1000101010110001…
…11111100110110000
3110000100000121102200
410111120333212300
534012340401231
62045443543200
7223216665012
oct42530774660
913010017380
104653840816
111a78a76539
12a9a68ab00
1359221b981
143221141b2
151c387abe6
hex11563f9b0

4653840816 has 90 divisors (see below), whose sum is σ = 13145761668. Its totient is φ = 1536944640.

The previous prime is 4653840809. The next prime is 4653840827. The reversal of 4653840816 is 6180483564.

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 17 ways as a sum of consecutive naturals, for example, 1837471 + ... + 1840001.

Almost surely, 24653840816 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 4653840816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572880834).

4653840816 is an abundant number, since it is smaller than the sum of its proper divisors (8491920852).

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

4653840816 is a wasteful number, since it uses less digits than its factorization.

4653840816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4653840816 is about 68219.0649012430. The cubic root of 4653840816 is about 1669.5669590859.

The spelling of 4653840816 in words is "four billion, six hundred fifty-three million, eight hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2531 2712 4068 5062 5424 7593 8136 10124 12769 15186 16272 20248 22779 25538 30372 38307 40496 45558 51076 60744 76614 91116 102152 114921 121488 153228 182232 204304 229842 286003 306456 364464 459684 572006 612912 858009 919368 1144012 1716018 1838736 2288024 2574027 3432036 4576048 5148054 6864072 10296108 13728144 20592216 32318339 41184432 64636678 96955017 129273356 193910034 258546712 290865051 387820068 517093424 581730102 775640136 1163460204 1551280272 2326920408 4653840816