Search a number
-
+
2363316648 = 233731126099
BaseRepresentation
bin1000110011011101…
…0101100110101000
320002200222220222020
42030313111212220
514320002113043
61030302024440
7112364601000
oct21467254650
96080886866
102363316648
111003037860
1255b578120
132b8813924
14185c31000
15dc72be83
hex8cdd59a8

2363316648 has 128 divisors (see below), whose sum is σ = 7516800000. Its totient is φ = 613824960.

The previous prime is 2363316647. The next prime is 2363316667. The reversal of 2363316648 is 8466133632.

2363316648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2363316647) 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, 77503 + ... + 103601.

It is an arithmetic number, because the mean of its divisors is an integer number (58725000).

Almost surely, 22363316648 is an apocalyptic number.

2363316648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2363316648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758400000).

2363316648 is an abundant number, since it is smaller than the sum of its proper divisors (5153483352).

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

2363316648 is a wasteful number, since it uses less digits than its factorization.

2363316648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26140 (or 26122 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 2363316648 is about 48613.9552803513. The cubic root of 2363316648 is about 1332.0094463163.

The spelling of 2363316648 in words is "two billion, three hundred sixty-three million, three hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2744 3234 3773 4116 4312 6468 7546 8232 11319 12936 15092 22638 26099 30184 45276 52198 78297 90552 104396 156594 182693 208792 287089 313188 365386 548079 574178 626376 730772 861267 1096158 1148356 1278851 1461544 1722534 2009623 2192316 2296712 2557702 3445068 3836553 4019246 4384632 5115404 6028869 6890136 7673106 8038492 8951957 10230808 12057738 14067361 15346212 16076984 17903914 24115476 26855871 28134722 30692424 35807828 42202083 48230952 53711742 56269444 71615656 84404166 98471527 107423484 112538888 168808332 196943054 214846968 295414581 337616664 393886108 590829162 787772216 1181658324 2363316648