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5700434608 = 2411131433571
BaseRepresentation
bin1010100111100010…
…11011101010110000
3112201021101002012201
411103301123222300
543133302401413
62341352032544
7261155615611
oct52361335260
915637332181
105700434608
112465823990
121131092754
136cacc0a3b
143c110dc08
152356b29dd
hex153c5bab0

5700434608 has 80 divisors (see below), whose sum is σ = 12189969792. Its totient is φ = 2560896000.

The previous prime is 5700434591. The next prime is 5700434629. The reversal of 5700434608 is 8064340075.

It is a super-2 number, since 2×57004346082 = 64989909440168227328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9982963 + ... + 9983533.

Almost surely, 25700434608 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 5700434608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094984896).

5700434608 is an abundant number, since it is smaller than the sum of its proper divisors (6489535184).

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

5700434608 is a wasteful number, since it uses less digits than its factorization.

5700434608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 5700434608 is about 75501.2225596381. Note that the first 3 decimals coincide. The cubic root of 5700434608 is about 1786.3613869764.

The spelling of 5700434608 in words is "five billion, seven hundred million, four hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 433 524 571 866 1048 1142 1441 1732 2096 2284 2882 3464 4568 4763 5764 6281 6928 9136 9526 11528 12562 19052 23056 25124 38104 50248 56723 74801 76208 100496 113446 149602 226892 247243 299204 453784 494486 598408 623953 822811 907568 988972 1196816 1247906 1645622 1977944 2495812 2719673 3291244 3955888 4991624 5439346 6582488 9983248 10878692 13164976 21757384 32388833 43514768 64777666 129555332 259110664 356277163 518221328 712554326 1425108652 2850217304 5700434608