Search a number
-
+
5703307776 = 29328291493
BaseRepresentation
bin1010100111111000…
…11001001000000000
3112201110210001110100
411103330121020000
543140021322101
62341533402400
7261222213315
oct52374311000
915643701410
105703307776
112467406601
121132039400
136cb78873a
143c165ad0c
15235a7de86
hex153f19200

5703307776 has 120 divisors (see below), whose sum is σ = 16491025980. Its totient is φ = 1897537536.

The previous prime is 5703307759. The next prime is 5703307783. The reversal of 5703307776 is 6777033075.

5703307776 is a `hidden beast` number, since 570 + 3 + 3 + 0 + 7 + 7 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5358240000 + 345067776 = 73200^2 + 18576^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3819286 + ... + 3820778.

Almost surely, 25703307776 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 5703307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245512990).

5703307776 is an abundant number, since it is smaller than the sum of its proper divisors (10787718204).

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

5703307776 is a wasteful number, since it uses less digits than its factorization.

5703307776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 648270, while the sum is 45.

The square root of 5703307776 is about 75520.2474572217. The cubic root of 5703307776 is about 1786.6614608398.

The spelling of 5703307776 in words is "five billion, seven hundred three million, three hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 829 1152 1493 1536 1658 2304 2487 2986 3316 4479 4608 4974 5972 6632 7461 8958 9948 11944 13264 13437 14922 17916 19896 23888 26528 26874 29844 35832 39792 47776 53056 53748 59688 71664 79584 95552 106112 107496 119376 143328 159168 191104 212224 214992 238752 286656 318336 382208 424448 429984 477504 573312 636672 764416 859968 955008 1146624 1237697 1273344 1719936 1910016 2293248 2475394 3439872 3713091 3820032 4950788 6879744 7426182 9901576 11139273 14852364 19803152 22278546 29704728 39606304 44557092 59409456 79212608 89114184 118818912 158425216 178228368 237637824 316850432 356456736 475275648 633700864 712913472 950551296 1425826944 1901102592 2851653888 5703307776