Search a number
-
+
4910057768 = 2371137367587
BaseRepresentation
bin1001001001010100…
…11000100100101000
3110200012010210000102
410210222120210220
540023433322033
62131115324532
7232450542140
oct44452304450
913605123012
104910057768
11209a666090
12b50450748
1360332a035
1434816b920
151db0dbde8
hex124a98928

4910057768 has 128 divisors (see below), whose sum is σ = 11840532480. Its totient is φ = 1853072640.

The previous prime is 4910057749. The next prime is 4910057783. The reversal of 4910057768 is 8677500194.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8364371 + ... + 8364957.

It is an arithmetic number, because the mean of its divisors is an integer number (92504160).

Almost surely, 24910057768 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 4910057768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920266240).

4910057768 is an abundant number, since it is smaller than the sum of its proper divisors (6930474712).

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

4910057768 is a wasteful number, since it uses less digits than its factorization.

4910057768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 4910057768 is about 70071.8043723722. The cubic root of 4910057768 is about 1699.6605744486.

The spelling of 4910057768 in words is "four billion, nine hundred ten million, fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 367 407 518 587 616 734 814 1036 1174 1468 1628 2072 2348 2569 2849 2936 3256 4037 4109 4696 5138 5698 6457 8074 8218 10276 11396 12914 13579 16148 16436 20552 21719 22792 25828 27158 28259 32296 32872 43438 45199 51656 54316 56518 86876 90398 95053 108632 113036 149369 152033 173752 180796 190106 215429 226072 238909 298738 304066 361592 380212 430858 477818 597476 608132 760424 861716 955636 1045583 1194952 1216264 1508003 1672363 1723432 1911272 2091166 2369719 3016006 3344726 4182332 4739438 6032012 6689452 7970873 8364664 9478876 12064024 13378904 15941746 16588033 18957752 31883492 33176066 55796111 63766984 66352132 87679603 111592222 132704264 175359206 223184444 350718412 446368888 613757221 701436824 1227514442 2455028884 4910057768