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5705748880 = 2451310950333
BaseRepresentation
bin1010101000001011…
…01101000110010000
3112201122101002000121
411110011231012100
543141132431010
62342102000024
7261252031246
oct52405550620
915648332017
105705748880
112468823647
121132a16014
136cc131890
143c1ad4796
15235db23da
hex15416d190

5705748880 has 80 divisors (see below), whose sum is σ = 14417670960. Its totient is φ = 2087368704.

The previous prime is 5705748857. The next prime is 5705748899. The reversal of 5705748880 is 888475075.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 665856 + 5705083024 = 816^2 + 75532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (52).

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 15 ways as a sum of consecutive naturals, for example, 88194 + ... + 138526.

It is an arithmetic number, because the mean of its divisors is an integer number (180220887).

Almost surely, 25705748880 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 5705748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208835480).

5705748880 is an abundant number, since it is smaller than the sum of its proper divisors (8711922080).

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

5705748880 is a wasteful number, since it uses less digits than its factorization.

5705748880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50468 (or 50462 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 52.

The square root of 5705748880 is about 75536.4076455851. The cubic root of 5705748880 is about 1786.9163307331.

The spelling of 5705748880 in words is "five billion, seven hundred five million, seven hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 260 436 520 545 872 1040 1090 1417 1744 2180 2834 4360 5668 7085 8720 11336 14170 22672 28340 50333 56680 100666 113360 201332 251665 402664 503330 654329 805328 1006660 1308658 2013320 2617316 3271645 4026640 5234632 5486297 6543290 10469264 10972594 13086580 21945188 26173160 27431485 43890376 52346320 54862970 71321861 87780752 109725940 142643722 219451880 285287444 356609305 438903760 570574888 713218610 1141149776 1426437220 2852874440 5705748880