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5786743340 = 2257319371423
BaseRepresentation
bin1010110001110101…
…01011001000101100
3112221021210000112102
411120322223020230
543322401241330
62354113554232
7263254335560
oct53072531054
915837700472
105786743340
1124aa513a14
121155b75978
13712b4c7b1
143cc7796a0
1523d060945
hex158eab22c

5786743340 has 96 divisors (see below), whose sum is σ = 14361575424. Its totient is φ = 1916628480.

The previous prime is 5786743289. The next prime is 5786743343. The reversal of 5786743340 is 433476875.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5786743343) 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, 4065869 + ... + 4067291.

It is an arithmetic number, because the mean of its divisors is an integer number (149599744).

Almost surely, 25786743340 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 5786743340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180787712).

5786743340 is an abundant number, since it is smaller than the sum of its proper divisors (8574832084).

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

5786743340 is a wasteful number, since it uses less digits than its factorization.

5786743340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The square root of 5786743340 is about 76070.6470328733. The cubic root of 5786743340 is about 1795.3318691273.

The spelling of 5786743340 in words is "five billion, seven hundred eighty-six million, seven hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 937 1085 1423 1874 2170 2846 3748 4340 4685 5692 6559 7115 9370 9961 13118 14230 18740 19922 26236 28460 29047 32795 39844 44113 49805 58094 65590 88226 99610 116188 131180 145235 176452 199220 203329 220565 290470 308791 406658 441130 580940 617582 813316 882260 1016645 1235164 1333351 1543955 2033290 2666702 3087910 4066580 5333404 6175820 6666755 9333457 13333510 18666914 26667020 37333828 41333881 46667285 82667762 93334570 165335524 186669140 206669405 289337167 413338810 578674334 826677620 1157348668 1446685835 2893371670 5786743340