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4905348364 = 22731109139373
BaseRepresentation
bin1001001000110000…
…11010110100001100
3110122212021111221001
410210120122310030
540021232121424
62130430350044
7232362526120
oct44430326414
913585244831
104905348364
112097a39914
12b4a95b324
1360236b5c7
143476a3580
151da9ab844
hex12461ad0c

4905348364 has 96 divisors (see below), whose sum is σ = 10321203200. Its totient is φ = 1995943680.

The previous prime is 4905348361. The next prime is 4905348377. The reversal of 4905348364 is 4638435094.

It is not an unprimeable number, because it can be changed into a prime (4905348361) by changing a digit.

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, 13150882 + ... + 13151254.

Almost surely, 24905348364 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 4905348364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160601600).

4905348364 is an abundant number, since it is smaller than the sum of its proper divisors (5415854836).

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

4905348364 is a wasteful number, since it uses less digits than its factorization.

4905348364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The square root of 4905348364 is about 70038.1921811236. The cubic root of 4905348364 is about 1699.1169998008.

The spelling of 4905348364 in words is "four billion, nine hundred five million, three hundred forty-eight thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 62 109 124 139 217 218 278 373 434 436 556 746 763 868 973 1492 1526 1946 2611 3052 3379 3892 4309 5222 6758 8618 10444 11563 13516 15151 17236 23126 23653 30163 30302 40657 46252 47306 51847 60326 60604 80941 81314 94612 103694 106057 120652 161882 162628 207388 212114 284599 323764 362929 424228 469681 569198 725858 939362 1138396 1260367 1451716 1607257 1878724 2520734 3214514 3287767 5041468 5651323 6429028 6575534 8822569 11250799 11302646 13151068 17645138 22501598 22605292 35290276 39559261 45003196 79118522 158237044 175191013 350382026 700764052 1226337091 2452674182 4905348364